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Simplifying 4 + 4n = -7n + 2(5n + 5) Reorder the terms: 4 + 4n = -7n + 2(5 + 5n) 4 + 4n = -7n + (5 * 2 + 5n * 2) 4 + 4n = -7n + (10 + 10n) Reorder the terms: 4 + 4n = 10 + -7n + 10n Combine like terms: -7n + 10n = 3n 4 + 4n = 10 + 3n Solving 4 + 4n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 4n + -3n = 10 + 3n + -3n Combine like terms: 4n + -3n = 1n 4 + 1n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 1n = 10 + 0 4 + 1n = 10 Add '-4' to each side of the equation. 4 + -4 + 1n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 10 + -4 1n = 10 + -4 Combine like terms: 10 + -4 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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