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Simplifying -6(8 + 2k) = -5(k + 4) (8 * -6 + 2k * -6) = -5(k + 4) (-48 + -12k) = -5(k + 4) Reorder the terms: -48 + -12k = -5(4 + k) -48 + -12k = (4 * -5 + k * -5) -48 + -12k = (-20 + -5k) Solving -48 + -12k = -20 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -48 + -12k + 5k = -20 + -5k + 5k Combine like terms: -12k + 5k = -7k -48 + -7k = -20 + -5k + 5k Combine like terms: -5k + 5k = 0 -48 + -7k = -20 + 0 -48 + -7k = -20 Add '48' to each side of the equation. -48 + 48 + -7k = -20 + 48 Combine like terms: -48 + 48 = 0 0 + -7k = -20 + 48 -7k = -20 + 48 Combine like terms: -20 + 48 = 28 -7k = 28 Divide each side by '-7'. k = -4 Simplifying k = -4
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