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Simplifying 30 + 2n = -2 + 7(n + 1) Reorder the terms: 30 + 2n = -2 + 7(1 + n) 30 + 2n = -2 + (1 * 7 + n * 7) 30 + 2n = -2 + (7 + 7n) Combine like terms: -2 + 7 = 5 30 + 2n = 5 + 7n Solving 30 + 2n = 5 + 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. 30 + 2n + -7n = 5 + 7n + -7n Combine like terms: 2n + -7n = -5n 30 + -5n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 30 + -5n = 5 + 0 30 + -5n = 5 Add '-30' to each side of the equation. 30 + -30 + -5n = 5 + -30 Combine like terms: 30 + -30 = 0 0 + -5n = 5 + -30 -5n = 5 + -30 Combine like terms: 5 + -30 = -25 -5n = -25 Divide each side by '-5'. n = 5 Simplifying n = 5
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