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Simplifying 2(5n + -1) = 7(n + 1) Reorder the terms: 2(-1 + 5n) = 7(n + 1) (-1 * 2 + 5n * 2) = 7(n + 1) (-2 + 10n) = 7(n + 1) Reorder the terms: -2 + 10n = 7(1 + n) -2 + 10n = (1 * 7 + n * 7) -2 + 10n = (7 + 7n) Solving -2 + 10n = 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. -2 + 10n + -7n = 7 + 7n + -7n Combine like terms: 10n + -7n = 3n -2 + 3n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + 3n = 7 + 0 -2 + 3n = 7 Add '2' to each side of the equation. -2 + 2 + 3n = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3n = 7 + 2 3n = 7 + 2 Combine like terms: 7 + 2 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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