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Simplifying 3(2k + -4) = -3k + 15 Reorder the terms: 3(-4 + 2k) = -3k + 15 (-4 * 3 + 2k * 3) = -3k + 15 (-12 + 6k) = -3k + 15 Reorder the terms: -12 + 6k = 15 + -3k Solving -12 + 6k = 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. -12 + 6k + 3k = 15 + -3k + 3k Combine like terms: 6k + 3k = 9k -12 + 9k = 15 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + 9k = 15 + 0 -12 + 9k = 15 Add '12' to each side of the equation. -12 + 12 + 9k = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 9k = 15 + 12 9k = 15 + 12 Combine like terms: 15 + 12 = 27 9k = 27 Divide each side by '9'. k = 3 Simplifying k = 3
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