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Simplifying -7(9n + 3) = -8(4n + -9) Reorder the terms: -7(3 + 9n) = -8(4n + -9) (3 * -7 + 9n * -7) = -8(4n + -9) (-21 + -63n) = -8(4n + -9) Reorder the terms: -21 + -63n = -8(-9 + 4n) -21 + -63n = (-9 * -8 + 4n * -8) -21 + -63n = (72 + -32n) Solving -21 + -63n = 72 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -21 + -63n + 32n = 72 + -32n + 32n Combine like terms: -63n + 32n = -31n -21 + -31n = 72 + -32n + 32n Combine like terms: -32n + 32n = 0 -21 + -31n = 72 + 0 -21 + -31n = 72 Add '21' to each side of the equation. -21 + 21 + -31n = 72 + 21 Combine like terms: -21 + 21 = 0 0 + -31n = 72 + 21 -31n = 72 + 21 Combine like terms: 72 + 21 = 93 -31n = 93 Divide each side by '-31'. n = -3 Simplifying n = -3
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