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Simplifying 5(2n + 2) = 9(5n + 4) + 2 Reorder the terms: 5(2 + 2n) = 9(5n + 4) + 2 (2 * 5 + 2n * 5) = 9(5n + 4) + 2 (10 + 10n) = 9(5n + 4) + 2 Reorder the terms: 10 + 10n = 9(4 + 5n) + 2 10 + 10n = (4 * 9 + 5n * 9) + 2 10 + 10n = (36 + 45n) + 2 Reorder the terms: 10 + 10n = 36 + 2 + 45n Combine like terms: 36 + 2 = 38 10 + 10n = 38 + 45n Solving 10 + 10n = 38 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 10 + 10n + -45n = 38 + 45n + -45n Combine like terms: 10n + -45n = -35n 10 + -35n = 38 + 45n + -45n Combine like terms: 45n + -45n = 0 10 + -35n = 38 + 0 10 + -35n = 38 Add '-10' to each side of the equation. 10 + -10 + -35n = 38 + -10 Combine like terms: 10 + -10 = 0 0 + -35n = 38 + -10 -35n = 38 + -10 Combine like terms: 38 + -10 = 28 -35n = 28 Divide each side by '-35'. n = -0.8 Simplifying n = -0.8
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