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Simplifying -12 + -3(k + -12) = -1 + -2(k + -11) Reorder the terms: -12 + -3(-12 + k) = -1 + -2(k + -11) -12 + (-12 * -3 + k * -3) = -1 + -2(k + -11) -12 + (36 + -3k) = -1 + -2(k + -11) Combine like terms: -12 + 36 = 24 24 + -3k = -1 + -2(k + -11) Reorder the terms: 24 + -3k = -1 + -2(-11 + k) 24 + -3k = -1 + (-11 * -2 + k * -2) 24 + -3k = -1 + (22 + -2k) Combine like terms: -1 + 22 = 21 24 + -3k = 21 + -2k Solving 24 + -3k = 21 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 24 + -3k + 2k = 21 + -2k + 2k Combine like terms: -3k + 2k = -1k 24 + -1k = 21 + -2k + 2k Combine like terms: -2k + 2k = 0 24 + -1k = 21 + 0 24 + -1k = 21 Add '-24' to each side of the equation. 24 + -24 + -1k = 21 + -24 Combine like terms: 24 + -24 = 0 0 + -1k = 21 + -24 -1k = 21 + -24 Combine like terms: 21 + -24 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3
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