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Simplifying 4(2n + 2) = 8(4n + 3) + 2 Reorder the terms: 4(2 + 2n) = 8(4n + 3) + 2 (2 * 4 + 2n * 4) = 8(4n + 3) + 2 (8 + 8n) = 8(4n + 3) + 2 Reorder the terms: 8 + 8n = 8(3 + 4n) + 2 8 + 8n = (3 * 8 + 4n * 8) + 2 8 + 8n = (24 + 32n) + 2 Reorder the terms: 8 + 8n = 24 + 2 + 32n Combine like terms: 24 + 2 = 26 8 + 8n = 26 + 32n Solving 8 + 8n = 26 + 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 = 26 + 32n + -32n Combine like terms: 8n + -32n = -24n 8 + -24n = 26 + 32n + -32n Combine like terms: 32n + -32n = 0 8 + -24n = 26 + 0 8 + -24n = 26 Add '-8' to each side of the equation. 8 + -8 + -24n = 26 + -8 Combine like terms: 8 + -8 = 0 0 + -24n = 26 + -8 -24n = 26 + -8 Combine like terms: 26 + -8 = 18 -24n = 18 Divide each side by '-24'. n = -0.75 Simplifying n = -0.75
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