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Simplifying -5(3k + -4) = 2k + -14 Reorder the terms: -5(-4 + 3k) = 2k + -14 (-4 * -5 + 3k * -5) = 2k + -14 (20 + -15k) = 2k + -14 Reorder the terms: 20 + -15k = -14 + 2k Solving 20 + -15k = -14 + 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. 20 + -15k + -2k = -14 + 2k + -2k Combine like terms: -15k + -2k = -17k 20 + -17k = -14 + 2k + -2k Combine like terms: 2k + -2k = 0 20 + -17k = -14 + 0 20 + -17k = -14 Add '-20' to each side of the equation. 20 + -20 + -17k = -14 + -20 Combine like terms: 20 + -20 = 0 0 + -17k = -14 + -20 -17k = -14 + -20 Combine like terms: -14 + -20 = -34 -17k = -34 Divide each side by '-17'. k = 2 Simplifying k = 2
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