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Simplifying -2k + -4(4 + 3k) = 5(-4 + -3k) -2k + (4 * -4 + 3k * -4) = 5(-4 + -3k) -2k + (-16 + -12k) = 5(-4 + -3k) Reorder the terms: -16 + -2k + -12k = 5(-4 + -3k) Combine like terms: -2k + -12k = -14k -16 + -14k = 5(-4 + -3k) -16 + -14k = (-4 * 5 + -3k * 5) -16 + -14k = (-20 + -15k) Solving -16 + -14k = -20 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -16 + -14k + 15k = -20 + -15k + 15k Combine like terms: -14k + 15k = 1k -16 + 1k = -20 + -15k + 15k Combine like terms: -15k + 15k = 0 -16 + 1k = -20 + 0 -16 + 1k = -20 Add '16' to each side of the equation. -16 + 16 + 1k = -20 + 16 Combine like terms: -16 + 16 = 0 0 + 1k = -20 + 16 1k = -20 + 16 Combine like terms: -20 + 16 = -4 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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