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Simplifying 9 + -5k + (-4) = 5(k + 3) 9 + -5k + -4 = 5(k + 3) Reorder the terms: 9 + -4 + -5k = 5(k + 3) Combine like terms: 9 + -4 = 5 5 + -5k = 5(k + 3) Reorder the terms: 5 + -5k = 5(3 + k) 5 + -5k = (3 * 5 + k * 5) 5 + -5k = (15 + 5k) Solving 5 + -5k = 15 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 5 + -5k + -5k = 15 + 5k + -5k Combine like terms: -5k + -5k = -10k 5 + -10k = 15 + 5k + -5k Combine like terms: 5k + -5k = 0 5 + -10k = 15 + 0 5 + -10k = 15 Add '-5' to each side of the equation. 5 + -5 + -10k = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -10k = 15 + -5 -10k = 15 + -5 Combine like terms: 15 + -5 = 10 -10k = 10 Divide each side by '-10'. k = -1 Simplifying k = -1
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