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Simplifying -135 = 5(-7 + -4k) -135 = (-7 * 5 + -4k * 5) -135 = (-35 + -20k) Solving -135 = -35 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. -135 + 20k = -35 + -20k + 20k Combine like terms: -20k + 20k = 0 -135 + 20k = -35 + 0 -135 + 20k = -35 Add '135' to each side of the equation. -135 + 135 + 20k = -35 + 135 Combine like terms: -135 + 135 = 0 0 + 20k = -35 + 135 20k = -35 + 135 Combine like terms: -35 + 135 = 100 20k = 100 Divide each side by '20'. k = 5 Simplifying k = 5
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