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Simplifying -132 = 4(7 + 5k) -132 = (7 * 4 + 5k * 4) -132 = (28 + 20k) Solving -132 = 28 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. -132 + -20k = 28 + 20k + -20k Combine like terms: 20k + -20k = 0 -132 + -20k = 28 + 0 -132 + -20k = 28 Add '132' to each side of the equation. -132 + 132 + -20k = 28 + 132 Combine like terms: -132 + 132 = 0 0 + -20k = 28 + 132 -20k = 28 + 132 Combine like terms: 28 + 132 = 160 -20k = 160 Divide each side by '-20'. k = -8 Simplifying k = -8
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