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Simplifying 3 + -5n = -8n + -7(n + 1) Reorder the terms: 3 + -5n = -8n + -7(1 + n) 3 + -5n = -8n + (1 * -7 + n * -7) 3 + -5n = -8n + (-7 + -7n) Reorder the terms: 3 + -5n = -7 + -8n + -7n Combine like terms: -8n + -7n = -15n 3 + -5n = -7 + -15n Solving 3 + -5n = -7 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 3 + -5n + 15n = -7 + -15n + 15n Combine like terms: -5n + 15n = 10n 3 + 10n = -7 + -15n + 15n Combine like terms: -15n + 15n = 0 3 + 10n = -7 + 0 3 + 10n = -7 Add '-3' to each side of the equation. 3 + -3 + 10n = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 10n = -7 + -3 10n = -7 + -3 Combine like terms: -7 + -3 = -10 10n = -10 Divide each side by '10'. n = -1 Simplifying n = -1
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