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Simplifying -7(n + 4) + 31 = 3n + -9 Reorder the terms: -7(4 + n) + 31 = 3n + -9 (4 * -7 + n * -7) + 31 = 3n + -9 (-28 + -7n) + 31 = 3n + -9 Reorder the terms: -28 + 31 + -7n = 3n + -9 Combine like terms: -28 + 31 = 3 3 + -7n = 3n + -9 Reorder the terms: 3 + -7n = -9 + 3n Solving 3 + -7n = -9 + 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. 3 + -7n + -3n = -9 + 3n + -3n Combine like terms: -7n + -3n = -10n 3 + -10n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 3 + -10n = -9 + 0 3 + -10n = -9 Add '-3' to each side of the equation. 3 + -3 + -10n = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -10n = -9 + -3 -10n = -9 + -3 Combine like terms: -9 + -3 = -12 -10n = -12 Divide each side by '-10'. n = 1.2 Simplifying n = 1.2
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