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Simplifying 4(-3 + 8n) = 2(3n + 7) (-3 * 4 + 8n * 4) = 2(3n + 7) (-12 + 32n) = 2(3n + 7) Reorder the terms: -12 + 32n = 2(7 + 3n) -12 + 32n = (7 * 2 + 3n * 2) -12 + 32n = (14 + 6n) Solving -12 + 32n = 14 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -12 + 32n + -6n = 14 + 6n + -6n Combine like terms: 32n + -6n = 26n -12 + 26n = 14 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + 26n = 14 + 0 -12 + 26n = 14 Add '12' to each side of the equation. -12 + 12 + 26n = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 26n = 14 + 12 26n = 14 + 12 Combine like terms: 14 + 12 = 26 26n = 26 Divide each side by '26'. n = 1 Simplifying n = 1
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