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Simplifying -2(3k + 8) = -5(1 + k) Reorder the terms: -2(8 + 3k) = -5(1 + k) (8 * -2 + 3k * -2) = -5(1 + k) (-16 + -6k) = -5(1 + k) -16 + -6k = (1 * -5 + k * -5) -16 + -6k = (-5 + -5k) Solving -16 + -6k = -5 + -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. -16 + -6k + 5k = -5 + -5k + 5k Combine like terms: -6k + 5k = -1k -16 + -1k = -5 + -5k + 5k Combine like terms: -5k + 5k = 0 -16 + -1k = -5 + 0 -16 + -1k = -5 Add '16' to each side of the equation. -16 + 16 + -1k = -5 + 16 Combine like terms: -16 + 16 = 0 0 + -1k = -5 + 16 -1k = -5 + 16 Combine like terms: -5 + 16 = 11 -1k = 11 Divide each side by '-1'. k = -11 Simplifying k = -11
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