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Simplifying 50 + -5n = 5(2n + 1) Reorder the terms: 50 + -5n = 5(1 + 2n) 50 + -5n = (1 * 5 + 2n * 5) 50 + -5n = (5 + 10n) Solving 50 + -5n = 5 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 50 + -5n + -10n = 5 + 10n + -10n Combine like terms: -5n + -10n = -15n 50 + -15n = 5 + 10n + -10n Combine like terms: 10n + -10n = 0 50 + -15n = 5 + 0 50 + -15n = 5 Add '-50' to each side of the equation. 50 + -50 + -15n = 5 + -50 Combine like terms: 50 + -50 = 0 0 + -15n = 5 + -50 -15n = 5 + -50 Combine like terms: 5 + -50 = -45 -15n = -45 Divide each side by '-15'. n = 3 Simplifying n = 3
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