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Simplifying 4(k + 12) = -3(6 + -5k) Reorder the terms: 4(12 + k) = -3(6 + -5k) (12 * 4 + k * 4) = -3(6 + -5k) (48 + 4k) = -3(6 + -5k) 48 + 4k = (6 * -3 + -5k * -3) 48 + 4k = (-18 + 15k) Solving 48 + 4k = -18 + 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. 48 + 4k + -15k = -18 + 15k + -15k Combine like terms: 4k + -15k = -11k 48 + -11k = -18 + 15k + -15k Combine like terms: 15k + -15k = 0 48 + -11k = -18 + 0 48 + -11k = -18 Add '-48' to each side of the equation. 48 + -48 + -11k = -18 + -48 Combine like terms: 48 + -48 = 0 0 + -11k = -18 + -48 -11k = -18 + -48 Combine like terms: -18 + -48 = -66 -11k = -66 Divide each side by '-11'. k = 6 Simplifying k = 6
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