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Simplifying -3(4k + 1) = -15 + -6k Reorder the terms: -3(1 + 4k) = -15 + -6k (1 * -3 + 4k * -3) = -15 + -6k (-3 + -12k) = -15 + -6k Solving -3 + -12k = -15 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -3 + -12k + 6k = -15 + -6k + 6k Combine like terms: -12k + 6k = -6k -3 + -6k = -15 + -6k + 6k Combine like terms: -6k + 6k = 0 -3 + -6k = -15 + 0 -3 + -6k = -15 Add '3' to each side of the equation. -3 + 3 + -6k = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -6k = -15 + 3 -6k = -15 + 3 Combine like terms: -15 + 3 = -12 -6k = -12 Divide each side by '-6'. k = 2 Simplifying k = 2
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