-182=3k+7(6-5k)

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Solution for -182=3k+7(6-5k) equation:


Simplifying
-182 = 3k + 7(6 + -5k)
-182 = 3k + (6 * 7 + -5k * 7)
-182 = 3k + (42 + -35k)

Reorder the terms:
-182 = 42 + 3k + -35k

Combine like terms: 3k + -35k = -32k
-182 = 42 + -32k

Solving
-182 = 42 + -32k

Solving for variable 'k'.

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

Add '32k' to each side of the equation.
-182 + 32k = 42 + -32k + 32k

Combine like terms: -32k + 32k = 0
-182 + 32k = 42 + 0
-182 + 32k = 42

Add '182' to each side of the equation.
-182 + 182 + 32k = 42 + 182

Combine like terms: -182 + 182 = 0
0 + 32k = 42 + 182
32k = 42 + 182

Combine like terms: 42 + 182 = 224
32k = 224

Divide each side by '32'.
k = 7

Simplifying
k = 7

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