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Simplifying -5k + -31 = -3(5k + -3) Reorder the terms: -31 + -5k = -3(5k + -3) Reorder the terms: -31 + -5k = -3(-3 + 5k) -31 + -5k = (-3 * -3 + 5k * -3) -31 + -5k = (9 + -15k) Solving -31 + -5k = 9 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -31 + -5k + 15k = 9 + -15k + 15k Combine like terms: -5k + 15k = 10k -31 + 10k = 9 + -15k + 15k Combine like terms: -15k + 15k = 0 -31 + 10k = 9 + 0 -31 + 10k = 9 Add '31' to each side of the equation. -31 + 31 + 10k = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 10k = 9 + 31 10k = 9 + 31 Combine like terms: 9 + 31 = 40 10k = 40 Divide each side by '10'. k = 4 Simplifying k = 4
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