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Simplifying 4(n + 3) = 36 + 7n Reorder the terms: 4(3 + n) = 36 + 7n (3 * 4 + n * 4) = 36 + 7n (12 + 4n) = 36 + 7n Solving 12 + 4n = 36 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 12 + 4n + -7n = 36 + 7n + -7n Combine like terms: 4n + -7n = -3n 12 + -3n = 36 + 7n + -7n Combine like terms: 7n + -7n = 0 12 + -3n = 36 + 0 12 + -3n = 36 Add '-12' to each side of the equation. 12 + -12 + -3n = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = 36 + -12 -3n = 36 + -12 Combine like terms: 36 + -12 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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