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Simplifying 7(n + -7) + -5(2n + 3) = 8 + -3n + 8n Reorder the terms: 7(-7 + n) + -5(2n + 3) = 8 + -3n + 8n (-7 * 7 + n * 7) + -5(2n + 3) = 8 + -3n + 8n (-49 + 7n) + -5(2n + 3) = 8 + -3n + 8n Reorder the terms: -49 + 7n + -5(3 + 2n) = 8 + -3n + 8n -49 + 7n + (3 * -5 + 2n * -5) = 8 + -3n + 8n -49 + 7n + (-15 + -10n) = 8 + -3n + 8n Reorder the terms: -49 + -15 + 7n + -10n = 8 + -3n + 8n Combine like terms: -49 + -15 = -64 -64 + 7n + -10n = 8 + -3n + 8n Combine like terms: 7n + -10n = -3n -64 + -3n = 8 + -3n + 8n Combine like terms: -3n + 8n = 5n -64 + -3n = 8 + 5n Solving -64 + -3n = 8 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -64 + -3n + -5n = 8 + 5n + -5n Combine like terms: -3n + -5n = -8n -64 + -8n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 -64 + -8n = 8 + 0 -64 + -8n = 8 Add '64' to each side of the equation. -64 + 64 + -8n = 8 + 64 Combine like terms: -64 + 64 = 0 0 + -8n = 8 + 64 -8n = 8 + 64 Combine like terms: 8 + 64 = 72 -8n = 72 Divide each side by '-8'. n = -9 Simplifying n = -9
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