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Simplifying 7(-5n + 7) = -3(n + 5) Reorder the terms: 7(7 + -5n) = -3(n + 5) (7 * 7 + -5n * 7) = -3(n + 5) (49 + -35n) = -3(n + 5) Reorder the terms: 49 + -35n = -3(5 + n) 49 + -35n = (5 * -3 + n * -3) 49 + -35n = (-15 + -3n) Solving 49 + -35n = -15 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 49 + -35n + 3n = -15 + -3n + 3n Combine like terms: -35n + 3n = -32n 49 + -32n = -15 + -3n + 3n Combine like terms: -3n + 3n = 0 49 + -32n = -15 + 0 49 + -32n = -15 Add '-49' to each side of the equation. 49 + -49 + -32n = -15 + -49 Combine like terms: 49 + -49 = 0 0 + -32n = -15 + -49 -32n = -15 + -49 Combine like terms: -15 + -49 = -64 -32n = -64 Divide each side by '-32'. n = 2 Simplifying n = 2
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