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Simplifying 2(n + -3) + 7 = 3(n + -1) Reorder the terms: 2(-3 + n) + 7 = 3(n + -1) (-3 * 2 + n * 2) + 7 = 3(n + -1) (-6 + 2n) + 7 = 3(n + -1) Reorder the terms: -6 + 7 + 2n = 3(n + -1) Combine like terms: -6 + 7 = 1 1 + 2n = 3(n + -1) Reorder the terms: 1 + 2n = 3(-1 + n) 1 + 2n = (-1 * 3 + n * 3) 1 + 2n = (-3 + 3n) Solving 1 + 2n = -3 + 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. 1 + 2n + -3n = -3 + 3n + -3n Combine like terms: 2n + -3n = -1n 1 + -1n = -3 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + -1n = -3 + 0 1 + -1n = -3 Add '-1' to each side of the equation. 1 + -1 + -1n = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = -3 + -1 -1n = -3 + -1 Combine like terms: -3 + -1 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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