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# Integers and Equations using the Multiplication Principle

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Solve using the Multiplication principle.
Determine whether 24 is a solution of the equation;
Translate to an algebraic expression

https://brainmass.com/math/basic-algebra/integers-equations-using-multiplication-principle-239485

#### Solution Preview

1.
Solve using the Multiplication principle. Don't forget to check.
-17x=187
Solution:
Divide each side by -17
=> x = 187/-17 = -11
Check:
Substitute x = -11, we will get
-17(-11) = 187
Thus it is correct.
2.
Determine whether 24 is a solution of the equation; x+11=33; Is 24 a solution? Yes or NO
N0, because 24 + 11 = 43
Solve using the principle don't forget to check: 2x-14=2
The solution is x=
2x-14=2
2x = 16
 x = 8
Substitute x = 8 in given equation
2(8) - 14 = 16 -14 = 2
Thus, it satisfies the given equation.
The solution is x = 8.

3. Solve : 5(x-6) + 4= 7(x+2)-8
5x - 30 + 4 = 7x + 14 - 8
5x - 26 = 7x + 6
5x - 7x = 6 + 26
-2x = 32
=> x = 32/-2 = -16

4. Simplify; [3-8(7-8)]
= [ 3 - 8(-1)] = 3 + 8 = 11
5. Translate to an algebraic expression; The product of 38% and some number
The ...

#### Solution Summary

This provides examples of working with algebra problems, including solving equations, writing algebraic expressions, and performing operations on positive and negative integers.

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