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Simplifying 5(2n + 2) = (n + 2) + 2 Reorder the terms: 5(2 + 2n) = (n + 2) + 2 (2 * 5 + 2n * 5) = (n + 2) + 2 (10 + 10n) = (n + 2) + 2 Reorder the terms: 10 + 10n = (2 + n) + 2 Remove parenthesis around (2 + n) 10 + 10n = 2 + n + 2 Reorder the terms: 10 + 10n = 2 + 2 + n Combine like terms: 2 + 2 = 4 10 + 10n = 4 + n Solving 10 + 10n = 4 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 10 + 10n + -1n = 4 + n + -1n Combine like terms: 10n + -1n = 9n 10 + 9n = 4 + n + -1n Combine like terms: n + -1n = 0 10 + 9n = 4 + 0 10 + 9n = 4 Add '-10' to each side of the equation. 10 + -10 + 9n = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 9n = 4 + -10 9n = 4 + -10 Combine like terms: 4 + -10 = -6 9n = -6 Divide each side by '9'. n = -0.6666666667 Simplifying n = -0.6666666667
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