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Simplifying 132 = 6(-4k + 6) Reorder the terms: 132 = 6(6 + -4k) 132 = (6 * 6 + -4k * 6) 132 = (36 + -24k) Solving 132 = 36 + -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. 132 + 24k = 36 + -24k + 24k Combine like terms: -24k + 24k = 0 132 + 24k = 36 + 0 132 + 24k = 36 Add '-132' to each side of the equation. 132 + -132 + 24k = 36 + -132 Combine like terms: 132 + -132 = 0 0 + 24k = 36 + -132 24k = 36 + -132 Combine like terms: 36 + -132 = -96 24k = -96 Divide each side by '24'. k = -4 Simplifying k = -4
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