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Simplifying 3n + 5(n + 3) = 2(n + -4) + -7 Reorder the terms: 3n + 5(3 + n) = 2(n + -4) + -7 3n + (3 * 5 + n * 5) = 2(n + -4) + -7 3n + (15 + 5n) = 2(n + -4) + -7 Reorder the terms: 15 + 3n + 5n = 2(n + -4) + -7 Combine like terms: 3n + 5n = 8n 15 + 8n = 2(n + -4) + -7 Reorder the terms: 15 + 8n = 2(-4 + n) + -7 15 + 8n = (-4 * 2 + n * 2) + -7 15 + 8n = (-8 + 2n) + -7 Reorder the terms: 15 + 8n = -8 + -7 + 2n Combine like terms: -8 + -7 = -15 15 + 8n = -15 + 2n Solving 15 + 8n = -15 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 15 + 8n + -2n = -15 + 2n + -2n Combine like terms: 8n + -2n = 6n 15 + 6n = -15 + 2n + -2n Combine like terms: 2n + -2n = 0 15 + 6n = -15 + 0 15 + 6n = -15 Add '-15' to each side of the equation. 15 + -15 + 6n = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 6n = -15 + -15 6n = -15 + -15 Combine like terms: -15 + -15 = -30 6n = -30 Divide each side by '6'. n = -5 Simplifying n = -5
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