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Simplifying 4(2n + 2) = 8(5n + 4) + 7 Reorder the terms: 4(2 + 2n) = 8(5n + 4) + 7 (2 * 4 + 2n * 4) = 8(5n + 4) + 7 (8 + 8n) = 8(5n + 4) + 7 Reorder the terms: 8 + 8n = 8(4 + 5n) + 7 8 + 8n = (4 * 8 + 5n * 8) + 7 8 + 8n = (32 + 40n) + 7 Reorder the terms: 8 + 8n = 32 + 7 + 40n Combine like terms: 32 + 7 = 39 8 + 8n = 39 + 40n Solving 8 + 8n = 39 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 8 + 8n + -40n = 39 + 40n + -40n Combine like terms: 8n + -40n = -32n 8 + -32n = 39 + 40n + -40n Combine like terms: 40n + -40n = 0 8 + -32n = 39 + 0 8 + -32n = 39 Add '-8' to each side of the equation. 8 + -8 + -32n = 39 + -8 Combine like terms: 8 + -8 = 0 0 + -32n = 39 + -8 -32n = 39 + -8 Combine like terms: 39 + -8 = 31 -32n = 31 Divide each side by '-32'. n = -0.96875 Simplifying n = -0.96875
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