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Simplifying 175 = -5(4k + -3) Reorder the terms: 175 = -5(-3 + 4k) 175 = (-3 * -5 + 4k * -5) 175 = (15 + -20k) Solving 175 = 15 + -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. 175 + 20k = 15 + -20k + 20k Combine like terms: -20k + 20k = 0 175 + 20k = 15 + 0 175 + 20k = 15 Add '-175' to each side of the equation. 175 + -175 + 20k = 15 + -175 Combine like terms: 175 + -175 = 0 0 + 20k = 15 + -175 20k = 15 + -175 Combine like terms: 15 + -175 = -160 20k = -160 Divide each side by '20'. k = -8 Simplifying k = -8
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