-3k+2(5+8k)=101

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Solution for -3k+2(5+8k)=101 equation:


Simplifying
-3k + 2(5 + 8k) = 101
-3k + (5 * 2 + 8k * 2) = 101
-3k + (10 + 16k) = 101

Reorder the terms:
10 + -3k + 16k = 101

Combine like terms: -3k + 16k = 13k
10 + 13k = 101

Solving
10 + 13k = 101

Solving for variable 'k'.

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

Add '-10' to each side of the equation.
10 + -10 + 13k = 101 + -10

Combine like terms: 10 + -10 = 0
0 + 13k = 101 + -10
13k = 101 + -10

Combine like terms: 101 + -10 = 91
13k = 91

Divide each side by '13'.
k = 7

Simplifying
k = 7

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