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Simplifying 12(n + 1) = 15n + -6 Reorder the terms: 12(1 + n) = 15n + -6 (1 * 12 + n * 12) = 15n + -6 (12 + 12n) = 15n + -6 Reorder the terms: 12 + 12n = -6 + 15n Solving 12 + 12n = -6 + 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. 12 + 12n + -15n = -6 + 15n + -15n Combine like terms: 12n + -15n = -3n 12 + -3n = -6 + 15n + -15n Combine like terms: 15n + -15n = 0 12 + -3n = -6 + 0 12 + -3n = -6 Add '-12' to each side of the equation. 12 + -12 + -3n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = -6 + -12 -3n = -6 + -12 Combine like terms: -6 + -12 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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