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Simplifying 4(2n + 2) = 8(4n + 7) + 7 Reorder the terms: 4(2 + 2n) = 8(4n + 7) + 7 (2 * 4 + 2n * 4) = 8(4n + 7) + 7 (8 + 8n) = 8(4n + 7) + 7 Reorder the terms: 8 + 8n = 8(7 + 4n) + 7 8 + 8n = (7 * 8 + 4n * 8) + 7 8 + 8n = (56 + 32n) + 7 Reorder the terms: 8 + 8n = 56 + 7 + 32n Combine like terms: 56 + 7 = 63 8 + 8n = 63 + 32n Solving 8 + 8n = 63 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 8 + 8n + -32n = 63 + 32n + -32n Combine like terms: 8n + -32n = -24n 8 + -24n = 63 + 32n + -32n Combine like terms: 32n + -32n = 0 8 + -24n = 63 + 0 8 + -24n = 63 Add '-8' to each side of the equation. 8 + -8 + -24n = 63 + -8 Combine like terms: 8 + -8 = 0 0 + -24n = 63 + -8 -24n = 63 + -8 Combine like terms: 63 + -8 = 55 -24n = 55 Divide each side by '-24'. n = -2.291666667 Simplifying n = -2.291666667
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