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Simplifying 126 = 6 + 5(7n + 3) Reorder the terms: 126 = 6 + 5(3 + 7n) 126 = 6 + (3 * 5 + 7n * 5) 126 = 6 + (15 + 35n) Combine like terms: 6 + 15 = 21 126 = 21 + 35n Solving 126 = 21 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 126 + -35n = 21 + 35n + -35n Combine like terms: 35n + -35n = 0 126 + -35n = 21 + 0 126 + -35n = 21 Add '-126' to each side of the equation. 126 + -126 + -35n = 21 + -126 Combine like terms: 126 + -126 = 0 0 + -35n = 21 + -126 -35n = 21 + -126 Combine like terms: 21 + -126 = -105 -35n = -105 Divide each side by '-35'. n = 3 Simplifying n = 3
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