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Simplifying 7 + 3(n + 1) = -1n + -2 Reorder the terms: 7 + 3(1 + n) = -1n + -2 7 + (1 * 3 + n * 3) = -1n + -2 7 + (3 + 3n) = -1n + -2 Combine like terms: 7 + 3 = 10 10 + 3n = -1n + -2 Reorder the terms: 10 + 3n = -2 + -1n Solving 10 + 3n = -2 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 10 + 3n + n = -2 + -1n + n Combine like terms: 3n + n = 4n 10 + 4n = -2 + -1n + n Combine like terms: -1n + n = 0 10 + 4n = -2 + 0 10 + 4n = -2 Add '-10' to each side of the equation. 10 + -10 + 4n = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = -2 + -10 4n = -2 + -10 Combine like terms: -2 + -10 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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