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Simplifying 5(2n + -2) = (7n + 4) + 1 Reorder the terms: 5(-2 + 2n) = (7n + 4) + 1 (-2 * 5 + 2n * 5) = (7n + 4) + 1 (-10 + 10n) = (7n + 4) + 1 Reorder the terms: -10 + 10n = (4 + 7n) + 1 Remove parenthesis around (4 + 7n) -10 + 10n = 4 + 7n + 1 Reorder the terms: -10 + 10n = 4 + 1 + 7n Combine like terms: 4 + 1 = 5 -10 + 10n = 5 + 7n Solving -10 + 10n = 5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -10 + 10n + -7n = 5 + 7n + -7n Combine like terms: 10n + -7n = 3n -10 + 3n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 -10 + 3n = 5 + 0 -10 + 3n = 5 Add '10' to each side of the equation. -10 + 10 + 3n = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = 5 + 10 3n = 5 + 10 Combine like terms: 5 + 10 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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