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Simplifying 3(n + -3) + 1 = 4n + -2(n + -1) Reorder the terms: 3(-3 + n) + 1 = 4n + -2(n + -1) (-3 * 3 + n * 3) + 1 = 4n + -2(n + -1) (-9 + 3n) + 1 = 4n + -2(n + -1) Reorder the terms: -9 + 1 + 3n = 4n + -2(n + -1) Combine like terms: -9 + 1 = -8 -8 + 3n = 4n + -2(n + -1) Reorder the terms: -8 + 3n = 4n + -2(-1 + n) -8 + 3n = 4n + (-1 * -2 + n * -2) -8 + 3n = 4n + (2 + -2n) Reorder the terms: -8 + 3n = 2 + 4n + -2n Combine like terms: 4n + -2n = 2n -8 + 3n = 2 + 2n Solving -8 + 3n = 2 + 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. -8 + 3n + -2n = 2 + 2n + -2n Combine like terms: 3n + -2n = 1n -8 + 1n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 1n = 2 + 0 -8 + 1n = 2 Add '8' to each side of the equation. -8 + 8 + 1n = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 1n = 2 + 8 1n = 2 + 8 Combine like terms: 2 + 8 = 10 1n = 10 Divide each side by '1'. n = 10 Simplifying n = 10
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