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Simplifying 8 + -3(-7 + 5n) = -1(7n + -5) 8 + (-7 * -3 + 5n * -3) = -1(7n + -5) 8 + (21 + -15n) = -1(7n + -5) Combine like terms: 8 + 21 = 29 29 + -15n = -1(7n + -5) Reorder the terms: 29 + -15n = -1(-5 + 7n) 29 + -15n = (-5 * -1 + 7n * -1) 29 + -15n = (5 + -7n) Solving 29 + -15n = 5 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 29 + -15n + 7n = 5 + -7n + 7n Combine like terms: -15n + 7n = -8n 29 + -8n = 5 + -7n + 7n Combine like terms: -7n + 7n = 0 29 + -8n = 5 + 0 29 + -8n = 5 Add '-29' to each side of the equation. 29 + -29 + -8n = 5 + -29 Combine like terms: 29 + -29 = 0 0 + -8n = 5 + -29 -8n = 5 + -29 Combine like terms: 5 + -29 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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