166=6-8(-2-3k)

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Solution for 166=6-8(-2-3k) equation:


Simplifying
166 = 6 + -8(-2 + -3k)
166 = 6 + (-2 * -8 + -3k * -8)
166 = 6 + (16 + 24k)

Combine like terms: 6 + 16 = 22
166 = 22 + 24k

Solving
166 = 22 + 24k

Solving for variable 'k'.

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

Add '-24k' to each side of the equation.
166 + -24k = 22 + 24k + -24k

Combine like terms: 24k + -24k = 0
166 + -24k = 22 + 0
166 + -24k = 22

Add '-166' to each side of the equation.
166 + -166 + -24k = 22 + -166

Combine like terms: 166 + -166 = 0
0 + -24k = 22 + -166
-24k = 22 + -166

Combine like terms: 22 + -166 = -144
-24k = -144

Divide each side by '-24'.
k = 6

Simplifying
k = 6

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