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Simplifying 175 = -8(6n + 5) + 5n Reorder the terms: 175 = -8(5 + 6n) + 5n 175 = (5 * -8 + 6n * -8) + 5n 175 = (-40 + -48n) + 5n Combine like terms: -48n + 5n = -43n 175 = -40 + -43n Solving 175 = -40 + -43n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '43n' to each side of the equation. 175 + 43n = -40 + -43n + 43n Combine like terms: -43n + 43n = 0 175 + 43n = -40 + 0 175 + 43n = -40 Add '-175' to each side of the equation. 175 + -175 + 43n = -40 + -175 Combine like terms: 175 + -175 = 0 0 + 43n = -40 + -175 43n = -40 + -175 Combine like terms: -40 + -175 = -215 43n = -215 Divide each side by '43'. n = -5 Simplifying n = -5
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