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Simplifying 8 = 5(k + 7) Reorder the terms: 8 = 5(7 + k) 8 = (7 * 5 + k * 5) 8 = (35 + 5k) Solving 8 = 35 + 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 = 35 + 5k + -5k Combine like terms: 5k + -5k = 0 8 + -5k = 35 + 0 8 + -5k = 35 Add '-8' to each side of the equation. 8 + -8 + -5k = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -5k = 35 + -8 -5k = 35 + -8 Combine like terms: 35 + -8 = 27 -5k = 27 Divide each side by '-5'. k = -5.4 Simplifying k = -5.4
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