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Simplifying -132 = 6(5k + 3) Reorder the terms: -132 = 6(3 + 5k) -132 = (3 * 6 + 5k * 6) -132 = (18 + 30k) Solving -132 = 18 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -132 + -30k = 18 + 30k + -30k Combine like terms: 30k + -30k = 0 -132 + -30k = 18 + 0 -132 + -30k = 18 Add '132' to each side of the equation. -132 + 132 + -30k = 18 + 132 Combine like terms: -132 + 132 = 0 0 + -30k = 18 + 132 -30k = 18 + 132 Combine like terms: 18 + 132 = 150 -30k = 150 Divide each side by '-30'. k = -5 Simplifying k = -5
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