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Simplifying -5(2n + -3) = 7(3n + -1n) Reorder the terms: -5(-3 + 2n) = 7(3n + -1n) (-3 * -5 + 2n * -5) = 7(3n + -1n) (15 + -10n) = 7(3n + -1n) Combine like terms: 3n + -1n = 2n 15 + -10n = 7(2n) Remove parenthesis around (2n) 15 + -10n = 7 * 2n Multiply 7 * 2 15 + -10n = 14n Solving 15 + -10n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 15 + -10n + -14n = 14n + -14n Combine like terms: -10n + -14n = -24n 15 + -24n = 14n + -14n Combine like terms: 14n + -14n = 0 15 + -24n = 0 Add '-15' to each side of the equation. 15 + -15 + -24n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -24n = 0 + -15 -24n = 0 + -15 Combine like terms: 0 + -15 = -15 -24n = -15 Divide each side by '-24'. n = 0.625 Simplifying n = 0.625
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