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Simplifying 5n + -29 = -1(-1 + 5n) Reorder the terms: -29 + 5n = -1(-1 + 5n) -29 + 5n = (-1 * -1 + 5n * -1) -29 + 5n = (1 + -5n) Solving -29 + 5n = 1 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -29 + 5n + 5n = 1 + -5n + 5n Combine like terms: 5n + 5n = 10n -29 + 10n = 1 + -5n + 5n Combine like terms: -5n + 5n = 0 -29 + 10n = 1 + 0 -29 + 10n = 1 Add '29' to each side of the equation. -29 + 29 + 10n = 1 + 29 Combine like terms: -29 + 29 = 0 0 + 10n = 1 + 29 10n = 1 + 29 Combine like terms: 1 + 29 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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