14k-162=-7(7+3k)-8

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Solution for 14k-162=-7(7+3k)-8 equation:


Simplifying
14k + -162 = -7(7 + 3k) + -8

Reorder the terms:
-162 + 14k = -7(7 + 3k) + -8
-162 + 14k = (7 * -7 + 3k * -7) + -8
-162 + 14k = (-49 + -21k) + -8

Reorder the terms:
-162 + 14k = -49 + -8 + -21k

Combine like terms: -49 + -8 = -57
-162 + 14k = -57 + -21k

Solving
-162 + 14k = -57 + -21k

Solving for variable 'k'.

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

Add '21k' to each side of the equation.
-162 + 14k + 21k = -57 + -21k + 21k

Combine like terms: 14k + 21k = 35k
-162 + 35k = -57 + -21k + 21k

Combine like terms: -21k + 21k = 0
-162 + 35k = -57 + 0
-162 + 35k = -57

Add '162' to each side of the equation.
-162 + 162 + 35k = -57 + 162

Combine like terms: -162 + 162 = 0
0 + 35k = -57 + 162
35k = -57 + 162

Combine like terms: -57 + 162 = 105
35k = 105

Divide each side by '35'.
k = 3

Simplifying
k = 3

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