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Simplifying 7(4n + 9 + -3p + 8n) = 0 Reorder the terms: 7(9 + 4n + 8n + -3p) = 0 Combine like terms: 4n + 8n = 12n 7(9 + 12n + -3p) = 0 (9 * 7 + 12n * 7 + -3p * 7) = 0 (63 + 84n + -21p) = 0 Solving 63 + 84n + -21p = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + 84n + -63 + -21p = 0 + -63 Reorder the terms: 63 + -63 + 84n + -21p = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 84n + -21p = 0 + -63 84n + -21p = 0 + -63 Combine like terms: 0 + -63 = -63 84n + -21p = -63 Add '21p' to each side of the equation. 84n + -21p + 21p = -63 + 21p Combine like terms: -21p + 21p = 0 84n + 0 = -63 + 21p 84n = -63 + 21p Divide each side by '84'. n = -0.75 + 0.25p Simplifying n = -0.75 + 0.25p
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