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Simplifying -5(k + 3) = 5 + -2(3 + -1k) Reorder the terms: -5(3 + k) = 5 + -2(3 + -1k) (3 * -5 + k * -5) = 5 + -2(3 + -1k) (-15 + -5k) = 5 + -2(3 + -1k) -15 + -5k = 5 + (3 * -2 + -1k * -2) -15 + -5k = 5 + (-6 + 2k) Combine like terms: 5 + -6 = -1 -15 + -5k = -1 + 2k Solving -15 + -5k = -1 + 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 = -1 + 2k + -2k Combine like terms: -5k + -2k = -7k -15 + -7k = -1 + 2k + -2k Combine like terms: 2k + -2k = 0 -15 + -7k = -1 + 0 -15 + -7k = -1 Add '15' to each side of the equation. -15 + 15 + -7k = -1 + 15 Combine like terms: -15 + 15 = 0 0 + -7k = -1 + 15 -7k = -1 + 15 Combine like terms: -1 + 15 = 14 -7k = 14 Divide each side by '-7'. k = -2 Simplifying k = -2
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