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Simplifying 152 = -4(6k + -2) Reorder the terms: 152 = -4(-2 + 6k) 152 = (-2 * -4 + 6k * -4) 152 = (8 + -24k) Solving 152 = 8 + -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. 152 + 24k = 8 + -24k + 24k Combine like terms: -24k + 24k = 0 152 + 24k = 8 + 0 152 + 24k = 8 Add '-152' to each side of the equation. 152 + -152 + 24k = 8 + -152 Combine like terms: 152 + -152 = 0 0 + 24k = 8 + -152 24k = 8 + -152 Combine like terms: 8 + -152 = -144 24k = -144 Divide each side by '24'. k = -6 Simplifying k = -6
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