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Simplifying -135 = 5(5k + 8) Reorder the terms: -135 = 5(8 + 5k) -135 = (8 * 5 + 5k * 5) -135 = (40 + 25k) Solving -135 = 40 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. -135 + -25k = 40 + 25k + -25k Combine like terms: 25k + -25k = 0 -135 + -25k = 40 + 0 -135 + -25k = 40 Add '135' to each side of the equation. -135 + 135 + -25k = 40 + 135 Combine like terms: -135 + 135 = 0 0 + -25k = 40 + 135 -25k = 40 + 135 Combine like terms: 40 + 135 = 175 -25k = 175 Divide each side by '-25'. k = -7 Simplifying k = -7
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