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Simplifying -7(5 + 5k) = -5(1 + 8k) (5 * -7 + 5k * -7) = -5(1 + 8k) (-35 + -35k) = -5(1 + 8k) -35 + -35k = (1 * -5 + 8k * -5) -35 + -35k = (-5 + -40k) Solving -35 + -35k = -5 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. -35 + -35k + 40k = -5 + -40k + 40k Combine like terms: -35k + 40k = 5k -35 + 5k = -5 + -40k + 40k Combine like terms: -40k + 40k = 0 -35 + 5k = -5 + 0 -35 + 5k = -5 Add '35' to each side of the equation. -35 + 35 + 5k = -5 + 35 Combine like terms: -35 + 35 = 0 0 + 5k = -5 + 35 5k = -5 + 35 Combine like terms: -5 + 35 = 30 5k = 30 Divide each side by '5'. k = 6 Simplifying k = 6
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