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Simplifying 132 = -6 + -6(3 + -3k) 132 = -6 + (3 * -6 + -3k * -6) 132 = -6 + (-18 + 18k) Combine like terms: -6 + -18 = -24 132 = -24 + 18k Solving 132 = -24 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 132 + -18k = -24 + 18k + -18k Combine like terms: 18k + -18k = 0 132 + -18k = -24 + 0 132 + -18k = -24 Add '-132' to each side of the equation. 132 + -132 + -18k = -24 + -132 Combine like terms: 132 + -132 = 0 0 + -18k = -24 + -132 -18k = -24 + -132 Combine like terms: -24 + -132 = -156 -18k = -156 Divide each side by '-18'. k = 8.666666667 Simplifying k = 8.666666667
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