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Simplifying 5(2n + -2) = (7n + 6) + 7 Reorder the terms: 5(-2 + 2n) = (7n + 6) + 7 (-2 * 5 + 2n * 5) = (7n + 6) + 7 (-10 + 10n) = (7n + 6) + 7 Reorder the terms: -10 + 10n = (6 + 7n) + 7 Remove parenthesis around (6 + 7n) -10 + 10n = 6 + 7n + 7 Reorder the terms: -10 + 10n = 6 + 7 + 7n Combine like terms: 6 + 7 = 13 -10 + 10n = 13 + 7n Solving -10 + 10n = 13 + 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 = 13 + 7n + -7n Combine like terms: 10n + -7n = 3n -10 + 3n = 13 + 7n + -7n Combine like terms: 7n + -7n = 0 -10 + 3n = 13 + 0 -10 + 3n = 13 Add '10' to each side of the equation. -10 + 10 + 3n = 13 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = 13 + 10 3n = 13 + 10 Combine like terms: 13 + 10 = 23 3n = 23 Divide each side by '3'. n = 7.666666667 Simplifying n = 7.666666667
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