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Simplifying 45 = 6(n + -1) + 12 Reorder the terms: 45 = 6(-1 + n) + 12 45 = (-1 * 6 + n * 6) + 12 45 = (-6 + 6n) + 12 Reorder the terms: 45 = -6 + 12 + 6n Combine like terms: -6 + 12 = 6 45 = 6 + 6n Solving 45 = 6 + 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. 45 + -6n = 6 + 6n + -6n Combine like terms: 6n + -6n = 0 45 + -6n = 6 + 0 45 + -6n = 6 Add '-45' to each side of the equation. 45 + -45 + -6n = 6 + -45 Combine like terms: 45 + -45 = 0 0 + -6n = 6 + -45 -6n = 6 + -45 Combine like terms: 6 + -45 = -39 -6n = -39 Divide each side by '-6'. n = 6.5 Simplifying n = 6.5
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