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Simplifying -48 = 4(3k + 6) Reorder the terms: -48 = 4(6 + 3k) -48 = (6 * 4 + 3k * 4) -48 = (24 + 12k) Solving -48 = 24 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -48 + -12k = 24 + 12k + -12k Combine like terms: 12k + -12k = 0 -48 + -12k = 24 + 0 -48 + -12k = 24 Add '48' to each side of the equation. -48 + 48 + -12k = 24 + 48 Combine like terms: -48 + 48 = 0 0 + -12k = 24 + 48 -12k = 24 + 48 Combine like terms: 24 + 48 = 72 -12k = 72 Divide each side by '-12'. k = -6 Simplifying k = -6
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