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Simplifying -7(-5n + 9) = 11(n + 3) + -8n Reorder the terms: -7(9 + -5n) = 11(n + 3) + -8n (9 * -7 + -5n * -7) = 11(n + 3) + -8n (-63 + 35n) = 11(n + 3) + -8n Reorder the terms: -63 + 35n = 11(3 + n) + -8n -63 + 35n = (3 * 11 + n * 11) + -8n -63 + 35n = (33 + 11n) + -8n Combine like terms: 11n + -8n = 3n -63 + 35n = 33 + 3n Solving -63 + 35n = 33 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -63 + 35n + -3n = 33 + 3n + -3n Combine like terms: 35n + -3n = 32n -63 + 32n = 33 + 3n + -3n Combine like terms: 3n + -3n = 0 -63 + 32n = 33 + 0 -63 + 32n = 33 Add '63' to each side of the equation. -63 + 63 + 32n = 33 + 63 Combine like terms: -63 + 63 = 0 0 + 32n = 33 + 63 32n = 33 + 63 Combine like terms: 33 + 63 = 96 32n = 96 Divide each side by '32'. n = 3 Simplifying n = 3
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