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Simplifying 5n + 2 = 2 + 5(3n + -2) Reorder the terms: 2 + 5n = 2 + 5(3n + -2) Reorder the terms: 2 + 5n = 2 + 5(-2 + 3n) 2 + 5n = 2 + (-2 * 5 + 3n * 5) 2 + 5n = 2 + (-10 + 15n) Combine like terms: 2 + -10 = -8 2 + 5n = -8 + 15n Solving 2 + 5n = -8 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 2 + 5n + -15n = -8 + 15n + -15n Combine like terms: 5n + -15n = -10n 2 + -10n = -8 + 15n + -15n Combine like terms: 15n + -15n = 0 2 + -10n = -8 + 0 2 + -10n = -8 Add '-2' to each side of the equation. 2 + -2 + -10n = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -10n = -8 + -2 -10n = -8 + -2 Combine like terms: -8 + -2 = -10 -10n = -10 Divide each side by '-10'. n = 1 Simplifying n = 1
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