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Simplifying 9 + -2(n + 1) = 10 + -3n Reorder the terms: 9 + -2(1 + n) = 10 + -3n 9 + (1 * -2 + n * -2) = 10 + -3n 9 + (-2 + -2n) = 10 + -3n Combine like terms: 9 + -2 = 7 7 + -2n = 10 + -3n Solving 7 + -2n = 10 + -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. 7 + -2n + 3n = 10 + -3n + 3n Combine like terms: -2n + 3n = 1n 7 + 1n = 10 + -3n + 3n Combine like terms: -3n + 3n = 0 7 + 1n = 10 + 0 7 + 1n = 10 Add '-7' to each side of the equation. 7 + -7 + 1n = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = 10 + -7 1n = 10 + -7 Combine like terms: 10 + -7 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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