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Simplifying 5(2n + 2) = 7(9n + 5) + 7 Reorder the terms: 5(2 + 2n) = 7(9n + 5) + 7 (2 * 5 + 2n * 5) = 7(9n + 5) + 7 (10 + 10n) = 7(9n + 5) + 7 Reorder the terms: 10 + 10n = 7(5 + 9n) + 7 10 + 10n = (5 * 7 + 9n * 7) + 7 10 + 10n = (35 + 63n) + 7 Reorder the terms: 10 + 10n = 35 + 7 + 63n Combine like terms: 35 + 7 = 42 10 + 10n = 42 + 63n Solving 10 + 10n = 42 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 10 + 10n + -63n = 42 + 63n + -63n Combine like terms: 10n + -63n = -53n 10 + -53n = 42 + 63n + -63n Combine like terms: 63n + -63n = 0 10 + -53n = 42 + 0 10 + -53n = 42 Add '-10' to each side of the equation. 10 + -10 + -53n = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -53n = 42 + -10 -53n = 42 + -10 Combine like terms: 42 + -10 = 32 -53n = 32 Divide each side by '-53'. n = -0.6037735849 Simplifying n = -0.6037735849
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