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Simplifying 7n + -40 = 5(4n + 5) Reorder the terms: -40 + 7n = 5(4n + 5) Reorder the terms: -40 + 7n = 5(5 + 4n) -40 + 7n = (5 * 5 + 4n * 5) -40 + 7n = (25 + 20n) Solving -40 + 7n = 25 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -40 + 7n + -20n = 25 + 20n + -20n Combine like terms: 7n + -20n = -13n -40 + -13n = 25 + 20n + -20n Combine like terms: 20n + -20n = 0 -40 + -13n = 25 + 0 -40 + -13n = 25 Add '40' to each side of the equation. -40 + 40 + -13n = 25 + 40 Combine like terms: -40 + 40 = 0 0 + -13n = 25 + 40 -13n = 25 + 40 Combine like terms: 25 + 40 = 65 -13n = 65 Divide each side by '-13'. n = -5 Simplifying n = -5
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