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Simplifying 8n + -39 = -3 + 4(5n + -3) Reorder the terms: -39 + 8n = -3 + 4(5n + -3) Reorder the terms: -39 + 8n = -3 + 4(-3 + 5n) -39 + 8n = -3 + (-3 * 4 + 5n * 4) -39 + 8n = -3 + (-12 + 20n) Combine like terms: -3 + -12 = -15 -39 + 8n = -15 + 20n Solving -39 + 8n = -15 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -39 + 8n + -20n = -15 + 20n + -20n Combine like terms: 8n + -20n = -12n -39 + -12n = -15 + 20n + -20n Combine like terms: 20n + -20n = 0 -39 + -12n = -15 + 0 -39 + -12n = -15 Add '39' to each side of the equation. -39 + 39 + -12n = -15 + 39 Combine like terms: -39 + 39 = 0 0 + -12n = -15 + 39 -12n = -15 + 39 Combine like terms: -15 + 39 = 24 -12n = 24 Divide each side by '-12'. n = -2 Simplifying n = -2
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