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Simplifying 7(7n + 4) + -9(5n + -7) = -1n + 3(n + -9) Reorder the terms: 7(4 + 7n) + -9(5n + -7) = -1n + 3(n + -9) (4 * 7 + 7n * 7) + -9(5n + -7) = -1n + 3(n + -9) (28 + 49n) + -9(5n + -7) = -1n + 3(n + -9) Reorder the terms: 28 + 49n + -9(-7 + 5n) = -1n + 3(n + -9) 28 + 49n + (-7 * -9 + 5n * -9) = -1n + 3(n + -9) 28 + 49n + (63 + -45n) = -1n + 3(n + -9) Reorder the terms: 28 + 63 + 49n + -45n = -1n + 3(n + -9) Combine like terms: 28 + 63 = 91 91 + 49n + -45n = -1n + 3(n + -9) Combine like terms: 49n + -45n = 4n 91 + 4n = -1n + 3(n + -9) Reorder the terms: 91 + 4n = -1n + 3(-9 + n) 91 + 4n = -1n + (-9 * 3 + n * 3) 91 + 4n = -1n + (-27 + 3n) Reorder the terms: 91 + 4n = -27 + -1n + 3n Combine like terms: -1n + 3n = 2n 91 + 4n = -27 + 2n Solving 91 + 4n = -27 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 91 + 4n + -2n = -27 + 2n + -2n Combine like terms: 4n + -2n = 2n 91 + 2n = -27 + 2n + -2n Combine like terms: 2n + -2n = 0 91 + 2n = -27 + 0 91 + 2n = -27 Add '-91' to each side of the equation. 91 + -91 + 2n = -27 + -91 Combine like terms: 91 + -91 = 0 0 + 2n = -27 + -91 2n = -27 + -91 Combine like terms: -27 + -91 = -118 2n = -118 Divide each side by '2'. n = -59 Simplifying n = -59
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