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Simplifying -3(1 + 4k) = 3k + 12 (1 * -3 + 4k * -3) = 3k + 12 (-3 + -12k) = 3k + 12 Reorder the terms: -3 + -12k = 12 + 3k Solving -3 + -12k = 12 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -3 + -12k + -3k = 12 + 3k + -3k Combine like terms: -12k + -3k = -15k -3 + -15k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 -3 + -15k = 12 + 0 -3 + -15k = 12 Add '3' to each side of the equation. -3 + 3 + -15k = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -15k = 12 + 3 -15k = 12 + 3 Combine like terms: 12 + 3 = 15 -15k = 15 Divide each side by '-15'. k = -1 Simplifying k = -1
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