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Simplifying 12 + 5k = -6(5k + 8) + 5k Reorder the terms: 12 + 5k = -6(8 + 5k) + 5k 12 + 5k = (8 * -6 + 5k * -6) + 5k 12 + 5k = (-48 + -30k) + 5k Combine like terms: -30k + 5k = -25k 12 + 5k = -48 + -25k Solving 12 + 5k = -48 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. 12 + 5k + 25k = -48 + -25k + 25k Combine like terms: 5k + 25k = 30k 12 + 30k = -48 + -25k + 25k Combine like terms: -25k + 25k = 0 12 + 30k = -48 + 0 12 + 30k = -48 Add '-12' to each side of the equation. 12 + -12 + 30k = -48 + -12 Combine like terms: 12 + -12 = 0 0 + 30k = -48 + -12 30k = -48 + -12 Combine like terms: -48 + -12 = -60 30k = -60 Divide each side by '30'. k = -2 Simplifying k = -2
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