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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 = 108 -18k = 108 Divide each side by '-18'. k = -6 Simplifying k = -6
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