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Simplifying 4(5n + 3) = 10n + 2 Reorder the terms: 4(3 + 5n) = 10n + 2 (3 * 4 + 5n * 4) = 10n + 2 (12 + 20n) = 10n + 2 Reorder the terms: 12 + 20n = 2 + 10n Solving 12 + 20n = 2 + 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. 12 + 20n + -10n = 2 + 10n + -10n Combine like terms: 20n + -10n = 10n 12 + 10n = 2 + 10n + -10n Combine like terms: 10n + -10n = 0 12 + 10n = 2 + 0 12 + 10n = 2 Add '-12' to each side of the equation. 12 + -12 + 10n = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 10n = 2 + -12 10n = 2 + -12 Combine like terms: 2 + -12 = -10 10n = -10 Divide each side by '10'. n = -1 Simplifying n = -1
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