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Simplifying -12(3k + -5) = 12(-11 + -11k) Reorder the terms: -12(-5 + 3k) = 12(-11 + -11k) (-5 * -12 + 3k * -12) = 12(-11 + -11k) (60 + -36k) = 12(-11 + -11k) 60 + -36k = (-11 * 12 + -11k * 12) 60 + -36k = (-132 + -132k) Solving 60 + -36k = -132 + -132k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '132k' to each side of the equation. 60 + -36k + 132k = -132 + -132k + 132k Combine like terms: -36k + 132k = 96k 60 + 96k = -132 + -132k + 132k Combine like terms: -132k + 132k = 0 60 + 96k = -132 + 0 60 + 96k = -132 Add '-60' to each side of the equation. 60 + -60 + 96k = -132 + -60 Combine like terms: 60 + -60 = 0 0 + 96k = -132 + -60 96k = -132 + -60 Combine like terms: -132 + -60 = -192 96k = -192 Divide each side by '96'. k = -2 Simplifying k = -2
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