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Simplifying 2n + -18 = 7(n + 1) Reorder the terms: -18 + 2n = 7(n + 1) Reorder the terms: -18 + 2n = 7(1 + n) -18 + 2n = (1 * 7 + n * 7) -18 + 2n = (7 + 7n) Solving -18 + 2n = 7 + 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. -18 + 2n + -7n = 7 + 7n + -7n Combine like terms: 2n + -7n = -5n -18 + -5n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -18 + -5n = 7 + 0 -18 + -5n = 7 Add '18' to each side of the equation. -18 + 18 + -5n = 7 + 18 Combine like terms: -18 + 18 = 0 0 + -5n = 7 + 18 -5n = 7 + 18 Combine like terms: 7 + 18 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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