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Simplifying n + 12 + 1 = -3(n + 9) + 4(7n + 10) Reorder the terms: 12 + 1 + n = -3(n + 9) + 4(7n + 10) Combine like terms: 12 + 1 = 13 13 + n = -3(n + 9) + 4(7n + 10) Reorder the terms: 13 + n = -3(9 + n) + 4(7n + 10) 13 + n = (9 * -3 + n * -3) + 4(7n + 10) 13 + n = (-27 + -3n) + 4(7n + 10) Reorder the terms: 13 + n = -27 + -3n + 4(10 + 7n) 13 + n = -27 + -3n + (10 * 4 + 7n * 4) 13 + n = -27 + -3n + (40 + 28n) Reorder the terms: 13 + n = -27 + 40 + -3n + 28n Combine like terms: -27 + 40 = 13 13 + n = 13 + -3n + 28n Combine like terms: -3n + 28n = 25n 13 + n = 13 + 25n Add '-13' to each side of the equation. 13 + -13 + n = 13 + -13 + 25n Combine like terms: 13 + -13 = 0 0 + n = 13 + -13 + 25n n = 13 + -13 + 25n Combine like terms: 13 + -13 = 0 n = 0 + 25n n = 25n Solving n = 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. n + -25n = 25n + -25n Combine like terms: n + -25n = -24n -24n = 25n + -25n Combine like terms: 25n + -25n = 0 -24n = 0 Divide each side by '-24'. n = 0 Simplifying n = 0
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