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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 = 30 -11k = 30 Divide each side by '-11'. k = -2.727272727 Simplifying k = -2.727272727
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