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Simplifying -152 = 8(-2k + -3) Reorder the terms: -152 = 8(-3 + -2k) -152 = (-3 * 8 + -2k * 8) -152 = (-24 + -16k) Solving -152 = -24 + -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. -152 + 16k = -24 + -16k + 16k Combine like terms: -16k + 16k = 0 -152 + 16k = -24 + 0 -152 + 16k = -24 Add '152' to each side of the equation. -152 + 152 + 16k = -24 + 152 Combine like terms: -152 + 152 = 0 0 + 16k = -24 + 152 16k = -24 + 152 Combine like terms: -24 + 152 = 128 16k = 128 Divide each side by '16'. k = 8 Simplifying k = 8
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