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Simplifying n + 36 = 7(n + 3) + -3 Reorder the terms: 36 + n = 7(n + 3) + -3 Reorder the terms: 36 + n = 7(3 + n) + -3 36 + n = (3 * 7 + n * 7) + -3 36 + n = (21 + 7n) + -3 Reorder the terms: 36 + n = 21 + -3 + 7n Combine like terms: 21 + -3 = 18 36 + n = 18 + 7n Solving 36 + n = 18 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 36 + n + -7n = 18 + 7n + -7n Combine like terms: n + -7n = -6n 36 + -6n = 18 + 7n + -7n Combine like terms: 7n + -7n = 0 36 + -6n = 18 + 0 36 + -6n = 18 Add '-36' to each side of the equation. 36 + -36 + -6n = 18 + -36 Combine like terms: 36 + -36 = 0 0 + -6n = 18 + -36 -6n = 18 + -36 Combine like terms: 18 + -36 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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