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Simplifying -3(k + -5) = -6(1 + 4k) Reorder the terms: -3(-5 + k) = -6(1 + 4k) (-5 * -3 + k * -3) = -6(1 + 4k) (15 + -3k) = -6(1 + 4k) 15 + -3k = (1 * -6 + 4k * -6) 15 + -3k = (-6 + -24k) Solving 15 + -3k = -6 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 15 + -3k + 24k = -6 + -24k + 24k Combine like terms: -3k + 24k = 21k 15 + 21k = -6 + -24k + 24k Combine like terms: -24k + 24k = 0 15 + 21k = -6 + 0 15 + 21k = -6 Add '-15' to each side of the equation. 15 + -15 + 21k = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 21k = -6 + -15 21k = -6 + -15 Combine like terms: -6 + -15 = -21 21k = -21 Divide each side by '21'. k = -1 Simplifying k = -1
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