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Simplifying -136 = 8k + 4(2k + -2) Reorder the terms: -136 = 8k + 4(-2 + 2k) -136 = 8k + (-2 * 4 + 2k * 4) -136 = 8k + (-8 + 8k) Reorder the terms: -136 = -8 + 8k + 8k Combine like terms: 8k + 8k = 16k -136 = -8 + 16k Solving -136 = -8 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -136 + -16k = -8 + 16k + -16k Combine like terms: 16k + -16k = 0 -136 + -16k = -8 + 0 -136 + -16k = -8 Add '136' to each side of the equation. -136 + 136 + -16k = -8 + 136 Combine like terms: -136 + 136 = 0 0 + -16k = -8 + 136 -16k = -8 + 136 Combine like terms: -8 + 136 = 128 -16k = 128 Divide each side by '-16'. k = -8 Simplifying k = -8
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