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Simplifying 7n + -35 = -3n + 5(5n + 8) Reorder the terms: -35 + 7n = -3n + 5(5n + 8) Reorder the terms: -35 + 7n = -3n + 5(8 + 5n) -35 + 7n = -3n + (8 * 5 + 5n * 5) -35 + 7n = -3n + (40 + 25n) Reorder the terms: -35 + 7n = 40 + -3n + 25n Combine like terms: -3n + 25n = 22n -35 + 7n = 40 + 22n Solving -35 + 7n = 40 + 22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22n' to each side of the equation. -35 + 7n + -22n = 40 + 22n + -22n Combine like terms: 7n + -22n = -15n -35 + -15n = 40 + 22n + -22n Combine like terms: 22n + -22n = 0 -35 + -15n = 40 + 0 -35 + -15n = 40 Add '35' to each side of the equation. -35 + 35 + -15n = 40 + 35 Combine like terms: -35 + 35 = 0 0 + -15n = 40 + 35 -15n = 40 + 35 Combine like terms: 40 + 35 = 75 -15n = 75 Divide each side by '-15'. n = -5 Simplifying n = -5
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