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Simplifying -9k + 15 = -22 + -4(k + 12) Reorder the terms: 15 + -9k = -22 + -4(k + 12) Reorder the terms: 15 + -9k = -22 + -4(12 + k) 15 + -9k = -22 + (12 * -4 + k * -4) 15 + -9k = -22 + (-48 + -4k) Combine like terms: -22 + -48 = -70 15 + -9k = -70 + -4k Solving 15 + -9k = -70 + -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 + -9k + 4k = -70 + -4k + 4k Combine like terms: -9k + 4k = -5k 15 + -5k = -70 + -4k + 4k Combine like terms: -4k + 4k = 0 15 + -5k = -70 + 0 15 + -5k = -70 Add '-15' to each side of the equation. 15 + -15 + -5k = -70 + -15 Combine like terms: 15 + -15 = 0 0 + -5k = -70 + -15 -5k = -70 + -15 Combine like terms: -70 + -15 = -85 -5k = -85 Divide each side by '-5'. k = 17 Simplifying k = 17
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