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Simplifying -4(k + -4) + 9 = -3k + -15 Reorder the terms: -4(-4 + k) + 9 = -3k + -15 (-4 * -4 + k * -4) + 9 = -3k + -15 (16 + -4k) + 9 = -3k + -15 Reorder the terms: 16 + 9 + -4k = -3k + -15 Combine like terms: 16 + 9 = 25 25 + -4k = -3k + -15 Reorder the terms: 25 + -4k = -15 + -3k Solving 25 + -4k = -15 + -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. 25 + -4k + 3k = -15 + -3k + 3k Combine like terms: -4k + 3k = -1k 25 + -1k = -15 + -3k + 3k Combine like terms: -3k + 3k = 0 25 + -1k = -15 + 0 25 + -1k = -15 Add '-25' to each side of the equation. 25 + -25 + -1k = -15 + -25 Combine like terms: 25 + -25 = 0 0 + -1k = -15 + -25 -1k = -15 + -25 Combine like terms: -15 + -25 = -40 -1k = -40 Divide each side by '-1'. k = 40 Simplifying k = 40
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