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Simplifying 4[5n + -7] = 10n + 2 Reorder the terms: 4[-7 + 5n] = 10n + 2 [-7 * 4 + 5n * 4] = 10n + 2 [-28 + 20n] = 10n + 2 Reorder the terms: -28 + 20n = 2 + 10n Solving -28 + 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. -28 + 20n + -10n = 2 + 10n + -10n Combine like terms: 20n + -10n = 10n -28 + 10n = 2 + 10n + -10n Combine like terms: 10n + -10n = 0 -28 + 10n = 2 + 0 -28 + 10n = 2 Add '28' to each side of the equation. -28 + 28 + 10n = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 10n = 2 + 28 10n = 2 + 28 Combine like terms: 2 + 28 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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