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Simplifying -5(k + 4) = 3(k + 4) Reorder the terms: -5(4 + k) = 3(k + 4) (4 * -5 + k * -5) = 3(k + 4) (-20 + -5k) = 3(k + 4) Reorder the terms: -20 + -5k = 3(4 + k) -20 + -5k = (4 * 3 + k * 3) -20 + -5k = (12 + 3k) Solving -20 + -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. -20 + -5k + -3k = 12 + 3k + -3k Combine like terms: -5k + -3k = -8k -20 + -8k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 -20 + -8k = 12 + 0 -20 + -8k = 12 Add '20' to each side of the equation. -20 + 20 + -8k = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -8k = 12 + 20 -8k = 12 + 20 Combine like terms: 12 + 20 = 32 -8k = 32 Divide each side by '-8'. k = -4 Simplifying k = -4
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