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Simplifying 12 = -5(k + -7) + -3(3 + -1k) Reorder the terms: 12 = -5(-7 + k) + -3(3 + -1k) 12 = (-7 * -5 + k * -5) + -3(3 + -1k) 12 = (35 + -5k) + -3(3 + -1k) 12 = 35 + -5k + (3 * -3 + -1k * -3) 12 = 35 + -5k + (-9 + 3k) Reorder the terms: 12 = 35 + -9 + -5k + 3k Combine like terms: 35 + -9 = 26 12 = 26 + -5k + 3k Combine like terms: -5k + 3k = -2k 12 = 26 + -2k Solving 12 = 26 + -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. 12 + 2k = 26 + -2k + 2k Combine like terms: -2k + 2k = 0 12 + 2k = 26 + 0 12 + 2k = 26 Add '-12' to each side of the equation. 12 + -12 + 2k = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 2k = 26 + -12 2k = 26 + -12 Combine like terms: 26 + -12 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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