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Simplifying 7 + -1(n + -2) = -5(2n + 3) Reorder the terms: 7 + -1(-2 + n) = -5(2n + 3) 7 + (-2 * -1 + n * -1) = -5(2n + 3) 7 + (2 + -1n) = -5(2n + 3) Combine like terms: 7 + 2 = 9 9 + -1n = -5(2n + 3) Reorder the terms: 9 + -1n = -5(3 + 2n) 9 + -1n = (3 * -5 + 2n * -5) 9 + -1n = (-15 + -10n) Solving 9 + -1n = -15 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 9 + -1n + 10n = -15 + -10n + 10n Combine like terms: -1n + 10n = 9n 9 + 9n = -15 + -10n + 10n Combine like terms: -10n + 10n = 0 9 + 9n = -15 + 0 9 + 9n = -15 Add '-9' to each side of the equation. 9 + -9 + 9n = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 9n = -15 + -9 9n = -15 + -9 Combine like terms: -15 + -9 = -24 9n = -24 Divide each side by '9'. n = -2.666666667 Simplifying n = -2.666666667
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