5(k-1)-3(k+32)=-13

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Solution for 5(k-1)-3(k+32)=-13 equation:


Simplifying
5(k + -1) + -3(k + 32) = -13

Reorder the terms:
5(-1 + k) + -3(k + 32) = -13
(-1 * 5 + k * 5) + -3(k + 32) = -13
(-5 + 5k) + -3(k + 32) = -13

Reorder the terms:
-5 + 5k + -3(32 + k) = -13
-5 + 5k + (32 * -3 + k * -3) = -13
-5 + 5k + (-96 + -3k) = -13

Reorder the terms:
-5 + -96 + 5k + -3k = -13

Combine like terms: -5 + -96 = -101
-101 + 5k + -3k = -13

Combine like terms: 5k + -3k = 2k
-101 + 2k = -13

Solving
-101 + 2k = -13

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '101' to each side of the equation.
-101 + 101 + 2k = -13 + 101

Combine like terms: -101 + 101 = 0
0 + 2k = -13 + 101
2k = -13 + 101

Combine like terms: -13 + 101 = 88
2k = 88

Divide each side by '2'.
k = 44

Simplifying
k = 44

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