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Simplifying 3(n + 3) + -7 = 6(n + -1) + -10 Reorder the terms: 3(3 + n) + -7 = 6(n + -1) + -10 (3 * 3 + n * 3) + -7 = 6(n + -1) + -10 (9 + 3n) + -7 = 6(n + -1) + -10 Reorder the terms: 9 + -7 + 3n = 6(n + -1) + -10 Combine like terms: 9 + -7 = 2 2 + 3n = 6(n + -1) + -10 Reorder the terms: 2 + 3n = 6(-1 + n) + -10 2 + 3n = (-1 * 6 + n * 6) + -10 2 + 3n = (-6 + 6n) + -10 Reorder the terms: 2 + 3n = -6 + -10 + 6n Combine like terms: -6 + -10 = -16 2 + 3n = -16 + 6n Solving 2 + 3n = -16 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 2 + 3n + -6n = -16 + 6n + -6n Combine like terms: 3n + -6n = -3n 2 + -3n = -16 + 6n + -6n Combine like terms: 6n + -6n = 0 2 + -3n = -16 + 0 2 + -3n = -16 Add '-2' to each side of the equation. 2 + -2 + -3n = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = -16 + -2 -3n = -16 + -2 Combine like terms: -16 + -2 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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