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Simplifying 7 = 3(n + 5) * 4 + -2 Reorder the terms: 7 = 3(5 + n) * 4 + -2 Reorder the terms for easier multiplication: 7 = 3 * 4(5 + n) + -2 Multiply 3 * 4 7 = 12(5 + n) + -2 7 = (5 * 12 + n * 12) + -2 7 = (60 + 12n) + -2 Reorder the terms: 7 = 60 + -2 + 12n Combine like terms: 60 + -2 = 58 7 = 58 + 12n Solving 7 = 58 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 7 + -12n = 58 + 12n + -12n Combine like terms: 12n + -12n = 0 7 + -12n = 58 + 0 7 + -12n = 58 Add '-7' to each side of the equation. 7 + -7 + -12n = 58 + -7 Combine like terms: 7 + -7 = 0 0 + -12n = 58 + -7 -12n = 58 + -7 Combine like terms: 58 + -7 = 51 -12n = 51 Divide each side by '-12'. n = -4.25 Simplifying n = -4.25
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