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Simplifying 5(k + 3) = 2k + -6 Reorder the terms: 5(3 + k) = 2k + -6 (3 * 5 + k * 5) = 2k + -6 (15 + 5k) = 2k + -6 Reorder the terms: 15 + 5k = -6 + 2k Solving 15 + 5k = -6 + 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 + 5k + -2k = -6 + 2k + -2k Combine like terms: 5k + -2k = 3k 15 + 3k = -6 + 2k + -2k Combine like terms: 2k + -2k = 0 15 + 3k = -6 + 0 15 + 3k = -6 Add '-15' to each side of the equation. 15 + -15 + 3k = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3k = -6 + -15 3k = -6 + -15 Combine like terms: -6 + -15 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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