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Simplifying -40 + 5n = 5(6n + -3) Reorder the terms: -40 + 5n = 5(-3 + 6n) -40 + 5n = (-3 * 5 + 6n * 5) -40 + 5n = (-15 + 30n) Solving -40 + 5n = -15 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -40 + 5n + -30n = -15 + 30n + -30n Combine like terms: 5n + -30n = -25n -40 + -25n = -15 + 30n + -30n Combine like terms: 30n + -30n = 0 -40 + -25n = -15 + 0 -40 + -25n = -15 Add '40' to each side of the equation. -40 + 40 + -25n = -15 + 40 Combine like terms: -40 + 40 = 0 0 + -25n = -15 + 40 -25n = -15 + 40 Combine like terms: -15 + 40 = 25 -25n = 25 Divide each side by '-25'. n = -1 Simplifying n = -1
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