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Simplifying 4(8 + n) = -4n + -1(6)(7 + -8n) (8 * 4 + n * 4) = -4n + -1(6)(7 + -8n) (32 + 4n) = -4n + -1(6)(7 + -8n) Multiply -1 * 6 32 + 4n = -4n + -6(7 + -8n) 32 + 4n = -4n + (7 * -6 + -8n * -6) 32 + 4n = -4n + (-42 + 48n) Reorder the terms: 32 + 4n = -42 + -4n + 48n Combine like terms: -4n + 48n = 44n 32 + 4n = -42 + 44n Solving 32 + 4n = -42 + 44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44n' to each side of the equation. 32 + 4n + -44n = -42 + 44n + -44n Combine like terms: 4n + -44n = -40n 32 + -40n = -42 + 44n + -44n Combine like terms: 44n + -44n = 0 32 + -40n = -42 + 0 32 + -40n = -42 Add '-32' to each side of the equation. 32 + -32 + -40n = -42 + -32 Combine like terms: 32 + -32 = 0 0 + -40n = -42 + -32 -40n = -42 + -32 Combine like terms: -42 + -32 = -74 -40n = -74 Divide each side by '-40'. n = 1.85 Simplifying n = 1.85
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