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Simplifying 7(1 + 5n) + -8(6n + 4) = -64 (1 * 7 + 5n * 7) + -8(6n + 4) = -64 (7 + 35n) + -8(6n + 4) = -64 Reorder the terms: 7 + 35n + -8(4 + 6n) = -64 7 + 35n + (4 * -8 + 6n * -8) = -64 7 + 35n + (-32 + -48n) = -64 Reorder the terms: 7 + -32 + 35n + -48n = -64 Combine like terms: 7 + -32 = -25 -25 + 35n + -48n = -64 Combine like terms: 35n + -48n = -13n -25 + -13n = -64 Solving -25 + -13n = -64 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -13n = -64 + 25 Combine like terms: -25 + 25 = 0 0 + -13n = -64 + 25 -13n = -64 + 25 Combine like terms: -64 + 25 = -39 -13n = -39 Divide each side by '-13'. n = 3 Simplifying n = 3
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