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Simplifying 3(n + 7) + -8 = 2(n + 1) + -12 Reorder the terms: 3(7 + n) + -8 = 2(n + 1) + -12 (7 * 3 + n * 3) + -8 = 2(n + 1) + -12 (21 + 3n) + -8 = 2(n + 1) + -12 Reorder the terms: 21 + -8 + 3n = 2(n + 1) + -12 Combine like terms: 21 + -8 = 13 13 + 3n = 2(n + 1) + -12 Reorder the terms: 13 + 3n = 2(1 + n) + -12 13 + 3n = (1 * 2 + n * 2) + -12 13 + 3n = (2 + 2n) + -12 Reorder the terms: 13 + 3n = 2 + -12 + 2n Combine like terms: 2 + -12 = -10 13 + 3n = -10 + 2n Solving 13 + 3n = -10 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 13 + 3n + -2n = -10 + 2n + -2n Combine like terms: 3n + -2n = 1n 13 + 1n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 13 + 1n = -10 + 0 13 + 1n = -10 Add '-13' to each side of the equation. 13 + -13 + 1n = -10 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = -10 + -13 1n = -10 + -13 Combine like terms: -10 + -13 = -23 1n = -23 Divide each side by '1'. n = -23 Simplifying n = -23
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