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Simplifying -15(k + -36) = 24(k + -10) Reorder the terms: -15(-36 + k) = 24(k + -10) (-36 * -15 + k * -15) = 24(k + -10) (540 + -15k) = 24(k + -10) Reorder the terms: 540 + -15k = 24(-10 + k) 540 + -15k = (-10 * 24 + k * 24) 540 + -15k = (-240 + 24k) Solving 540 + -15k = -240 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 540 + -15k + -24k = -240 + 24k + -24k Combine like terms: -15k + -24k = -39k 540 + -39k = -240 + 24k + -24k Combine like terms: 24k + -24k = 0 540 + -39k = -240 + 0 540 + -39k = -240 Add '-540' to each side of the equation. 540 + -540 + -39k = -240 + -540 Combine like terms: 540 + -540 = 0 0 + -39k = -240 + -540 -39k = -240 + -540 Combine like terms: -240 + -540 = -780 -39k = -780 Divide each side by '-39'. k = 20 Simplifying k = 20
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