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Simplifying -15 + 3k = -2(k + -4) + 7 Reorder the terms: -15 + 3k = -2(-4 + k) + 7 -15 + 3k = (-4 * -2 + k * -2) + 7 -15 + 3k = (8 + -2k) + 7 Reorder the terms: -15 + 3k = 8 + 7 + -2k Combine like terms: 8 + 7 = 15 -15 + 3k = 15 + -2k Solving -15 + 3k = 15 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -15 + 3k + 2k = 15 + -2k + 2k Combine like terms: 3k + 2k = 5k -15 + 5k = 15 + -2k + 2k Combine like terms: -2k + 2k = 0 -15 + 5k = 15 + 0 -15 + 5k = 15 Add '15' to each side of the equation. -15 + 15 + 5k = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 5k = 15 + 15 5k = 15 + 15 Combine like terms: 15 + 15 = 30 5k = 30 Divide each side by '5'. k = 6 Simplifying k = 6
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