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Simplifying (6n + 4) + -1(12n + -9) = 2n + 29 Reorder the terms: (4 + 6n) + -1(12n + -9) = 2n + 29 Remove parenthesis around (4 + 6n) 4 + 6n + -1(12n + -9) = 2n + 29 Reorder the terms: 4 + 6n + -1(-9 + 12n) = 2n + 29 4 + 6n + (-9 * -1 + 12n * -1) = 2n + 29 4 + 6n + (9 + -12n) = 2n + 29 Reorder the terms: 4 + 9 + 6n + -12n = 2n + 29 Combine like terms: 4 + 9 = 13 13 + 6n + -12n = 2n + 29 Combine like terms: 6n + -12n = -6n 13 + -6n = 2n + 29 Reorder the terms: 13 + -6n = 29 + 2n Solving 13 + -6n = 29 + 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. 13 + -6n + -2n = 29 + 2n + -2n Combine like terms: -6n + -2n = -8n 13 + -8n = 29 + 2n + -2n Combine like terms: 2n + -2n = 0 13 + -8n = 29 + 0 13 + -8n = 29 Add '-13' to each side of the equation. 13 + -13 + -8n = 29 + -13 Combine like terms: 13 + -13 = 0 0 + -8n = 29 + -13 -8n = 29 + -13 Combine like terms: 29 + -13 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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