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Simplifying 15 + 5k = 4(-1k + -3) Reorder the terms: 15 + 5k = 4(-3 + -1k) 15 + 5k = (-3 * 4 + -1k * 4) 15 + 5k = (-12 + -4k) Solving 15 + 5k = -12 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 15 + 5k + 4k = -12 + -4k + 4k Combine like terms: 5k + 4k = 9k 15 + 9k = -12 + -4k + 4k Combine like terms: -4k + 4k = 0 15 + 9k = -12 + 0 15 + 9k = -12 Add '-15' to each side of the equation. 15 + -15 + 9k = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 9k = -12 + -15 9k = -12 + -15 Combine like terms: -12 + -15 = -27 9k = -27 Divide each side by '9'. k = -3 Simplifying k = -3
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