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Simplifying 5(k + 2) = 3(k + -4) Reorder the terms: 5(2 + k) = 3(k + -4) (2 * 5 + k * 5) = 3(k + -4) (10 + 5k) = 3(k + -4) Reorder the terms: 10 + 5k = 3(-4 + k) 10 + 5k = (-4 * 3 + k * 3) 10 + 5k = (-12 + 3k) Solving 10 + 5k = -12 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 10 + 5k + -3k = -12 + 3k + -3k Combine like terms: 5k + -3k = 2k 10 + 2k = -12 + 3k + -3k Combine like terms: 3k + -3k = 0 10 + 2k = -12 + 0 10 + 2k = -12 Add '-10' to each side of the equation. 10 + -10 + 2k = -12 + -10 Combine like terms: 10 + -10 = 0 0 + 2k = -12 + -10 2k = -12 + -10 Combine like terms: -12 + -10 = -22 2k = -22 Divide each side by '2'. k = -11 Simplifying k = -11
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