-178=2k+6(5k-3)

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Solution for -178=2k+6(5k-3) equation:


Simplifying
-178 = 2k + 6(5k + -3)

Reorder the terms:
-178 = 2k + 6(-3 + 5k)
-178 = 2k + (-3 * 6 + 5k * 6)
-178 = 2k + (-18 + 30k)

Reorder the terms:
-178 = -18 + 2k + 30k

Combine like terms: 2k + 30k = 32k
-178 = -18 + 32k

Solving
-178 = -18 + 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.
-178 + -32k = -18 + 32k + -32k

Combine like terms: 32k + -32k = 0
-178 + -32k = -18 + 0
-178 + -32k = -18

Add '178' to each side of the equation.
-178 + 178 + -32k = -18 + 178

Combine like terms: -178 + 178 = 0
0 + -32k = -18 + 178
-32k = -18 + 178

Combine like terms: -18 + 178 = 160
-32k = 160

Divide each side by '-32'.
k = -5

Simplifying
k = -5

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