-101=3(6k+3)-2

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Solution for -101=3(6k+3)-2 equation:


Simplifying
-101 = 3(6k + 3) + -2

Reorder the terms:
-101 = 3(3 + 6k) + -2
-101 = (3 * 3 + 6k * 3) + -2
-101 = (9 + 18k) + -2

Reorder the terms:
-101 = 9 + -2 + 18k

Combine like terms: 9 + -2 = 7
-101 = 7 + 18k

Solving
-101 = 7 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
-101 + -18k = 7 + 18k + -18k

Combine like terms: 18k + -18k = 0
-101 + -18k = 7 + 0
-101 + -18k = 7

Add '101' to each side of the equation.
-101 + 101 + -18k = 7 + 101

Combine like terms: -101 + 101 = 0
0 + -18k = 7 + 101
-18k = 7 + 101

Combine like terms: 7 + 101 = 108
-18k = 108

Divide each side by '-18'.
k = -6

Simplifying
k = -6

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