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Simplifying -3(1 + 5k) = -6(k + -4) (1 * -3 + 5k * -3) = -6(k + -4) (-3 + -15k) = -6(k + -4) Reorder the terms: -3 + -15k = -6(-4 + k) -3 + -15k = (-4 * -6 + k * -6) -3 + -15k = (24 + -6k) Solving -3 + -15k = 24 + -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 + -15k + 6k = 24 + -6k + 6k Combine like terms: -15k + 6k = -9k -3 + -9k = 24 + -6k + 6k Combine like terms: -6k + 6k = 0 -3 + -9k = 24 + 0 -3 + -9k = 24 Add '3' to each side of the equation. -3 + 3 + -9k = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -9k = 24 + 3 -9k = 24 + 3 Combine like terms: 24 + 3 = 27 -9k = 27 Divide each side by '-9'. k = -3 Simplifying k = -3
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