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Simplifying 6n + -1(31n + -18) = 12(n + -1) + 3n Reorder the terms: 6n + -1(-18 + 31n) = 12(n + -1) + 3n 6n + (-18 * -1 + 31n * -1) = 12(n + -1) + 3n 6n + (18 + -31n) = 12(n + -1) + 3n Reorder the terms: 18 + 6n + -31n = 12(n + -1) + 3n Combine like terms: 6n + -31n = -25n 18 + -25n = 12(n + -1) + 3n Reorder the terms: 18 + -25n = 12(-1 + n) + 3n 18 + -25n = (-1 * 12 + n * 12) + 3n 18 + -25n = (-12 + 12n) + 3n Combine like terms: 12n + 3n = 15n 18 + -25n = -12 + 15n Solving 18 + -25n = -12 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 18 + -25n + -15n = -12 + 15n + -15n Combine like terms: -25n + -15n = -40n 18 + -40n = -12 + 15n + -15n Combine like terms: 15n + -15n = 0 18 + -40n = -12 + 0 18 + -40n = -12 Add '-18' to each side of the equation. 18 + -18 + -40n = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -40n = -12 + -18 -40n = -12 + -18 Combine like terms: -12 + -18 = -30 -40n = -30 Divide each side by '-40'. n = 0.75 Simplifying n = 0.75
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