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Simplifying 8n + 5(n + -3) = 4 + -1(3n + 3) Reorder the terms: 8n + 5(-3 + n) = 4 + -1(3n + 3) 8n + (-3 * 5 + n * 5) = 4 + -1(3n + 3) 8n + (-15 + 5n) = 4 + -1(3n + 3) Reorder the terms: -15 + 8n + 5n = 4 + -1(3n + 3) Combine like terms: 8n + 5n = 13n -15 + 13n = 4 + -1(3n + 3) Reorder the terms: -15 + 13n = 4 + -1(3 + 3n) -15 + 13n = 4 + (3 * -1 + 3n * -1) -15 + 13n = 4 + (-3 + -3n) Combine like terms: 4 + -3 = 1 -15 + 13n = 1 + -3n Solving -15 + 13n = 1 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -15 + 13n + 3n = 1 + -3n + 3n Combine like terms: 13n + 3n = 16n -15 + 16n = 1 + -3n + 3n Combine like terms: -3n + 3n = 0 -15 + 16n = 1 + 0 -15 + 16n = 1 Add '15' to each side of the equation. -15 + 15 + 16n = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 16n = 1 + 15 16n = 1 + 15 Combine like terms: 1 + 15 = 16 16n = 16 Divide each side by '16'. n = 1 Simplifying n = 1
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