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Simplifying 2(k + -4) = 3(k + 5) Reorder the terms: 2(-4 + k) = 3(k + 5) (-4 * 2 + k * 2) = 3(k + 5) (-8 + 2k) = 3(k + 5) Reorder the terms: -8 + 2k = 3(5 + k) -8 + 2k = (5 * 3 + k * 3) -8 + 2k = (15 + 3k) Solving -8 + 2k = 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. -8 + 2k + -3k = 15 + 3k + -3k Combine like terms: 2k + -3k = -1k -8 + -1k = 15 + 3k + -3k Combine like terms: 3k + -3k = 0 -8 + -1k = 15 + 0 -8 + -1k = 15 Add '8' to each side of the equation. -8 + 8 + -1k = 15 + 8 Combine like terms: -8 + 8 = 0 0 + -1k = 15 + 8 -1k = 15 + 8 Combine like terms: 15 + 8 = 23 -1k = 23 Divide each side by '-1'. k = -23 Simplifying k = -23
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