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Simplifying 5(n + 2) + -15 = 4(2n + -5) Reorder the terms: 5(2 + n) + -15 = 4(2n + -5) (2 * 5 + n * 5) + -15 = 4(2n + -5) (10 + 5n) + -15 = 4(2n + -5) Reorder the terms: 10 + -15 + 5n = 4(2n + -5) Combine like terms: 10 + -15 = -5 -5 + 5n = 4(2n + -5) Reorder the terms: -5 + 5n = 4(-5 + 2n) -5 + 5n = (-5 * 4 + 2n * 4) -5 + 5n = (-20 + 8n) Solving -5 + 5n = -20 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -5 + 5n + -8n = -20 + 8n + -8n Combine like terms: 5n + -8n = -3n -5 + -3n = -20 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + -3n = -20 + 0 -5 + -3n = -20 Add '5' to each side of the equation. -5 + 5 + -3n = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -3n = -20 + 5 -3n = -20 + 5 Combine like terms: -20 + 5 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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