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Simplifying -1(12k + -12) = 4(k + 7) Reorder the terms: -1(-12 + 12k) = 4(k + 7) (-12 * -1 + 12k * -1) = 4(k + 7) (12 + -12k) = 4(k + 7) Reorder the terms: 12 + -12k = 4(7 + k) 12 + -12k = (7 * 4 + k * 4) 12 + -12k = (28 + 4k) Solving 12 + -12k = 28 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 12 + -12k + -4k = 28 + 4k + -4k Combine like terms: -12k + -4k = -16k 12 + -16k = 28 + 4k + -4k Combine like terms: 4k + -4k = 0 12 + -16k = 28 + 0 12 + -16k = 28 Add '-12' to each side of the equation. 12 + -12 + -16k = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -16k = 28 + -12 -16k = 28 + -12 Combine like terms: 28 + -12 = 16 -16k = 16 Divide each side by '-16'. k = -1 Simplifying k = -1
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