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Simplifying -8 = 7 + -5(k + 1) Reorder the terms: -8 = 7 + -5(1 + k) -8 = 7 + (1 * -5 + k * -5) -8 = 7 + (-5 + -5k) Combine like terms: 7 + -5 = 2 -8 = 2 + -5k Solving -8 = 2 + -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. -8 + 5k = 2 + -5k + 5k Combine like terms: -5k + 5k = 0 -8 + 5k = 2 + 0 -8 + 5k = 2 Add '8' to each side of the equation. -8 + 8 + 5k = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5k = 2 + 8 5k = 2 + 8 Combine like terms: 2 + 8 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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