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Simplifying -12 + 7(n + 10) = 3(n + -10) Reorder the terms: -12 + 7(10 + n) = 3(n + -10) -12 + (10 * 7 + n * 7) = 3(n + -10) -12 + (70 + 7n) = 3(n + -10) Combine like terms: -12 + 70 = 58 58 + 7n = 3(n + -10) Reorder the terms: 58 + 7n = 3(-10 + n) 58 + 7n = (-10 * 3 + n * 3) 58 + 7n = (-30 + 3n) Solving 58 + 7n = -30 + 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. 58 + 7n + -3n = -30 + 3n + -3n Combine like terms: 7n + -3n = 4n 58 + 4n = -30 + 3n + -3n Combine like terms: 3n + -3n = 0 58 + 4n = -30 + 0 58 + 4n = -30 Add '-58' to each side of the equation. 58 + -58 + 4n = -30 + -58 Combine like terms: 58 + -58 = 0 0 + 4n = -30 + -58 4n = -30 + -58 Combine like terms: -30 + -58 = -88 4n = -88 Divide each side by '4'. n = -22 Simplifying n = -22
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