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Simplifying -12(-10 + 4k) = 8(3k + 6) (-10 * -12 + 4k * -12) = 8(3k + 6) (120 + -48k) = 8(3k + 6) Reorder the terms: 120 + -48k = 8(6 + 3k) 120 + -48k = (6 * 8 + 3k * 8) 120 + -48k = (48 + 24k) Solving 120 + -48k = 48 + 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. 120 + -48k + -24k = 48 + 24k + -24k Combine like terms: -48k + -24k = -72k 120 + -72k = 48 + 24k + -24k Combine like terms: 24k + -24k = 0 120 + -72k = 48 + 0 120 + -72k = 48 Add '-120' to each side of the equation. 120 + -120 + -72k = 48 + -120 Combine like terms: 120 + -120 = 0 0 + -72k = 48 + -120 -72k = 48 + -120 Combine like terms: 48 + -120 = -72 -72k = -72 Divide each side by '-72'. k = 1 Simplifying k = 1
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