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Simplifying -3(10n + -3) + -2n = 7n + 9 Reorder the terms: -3(-3 + 10n) + -2n = 7n + 9 (-3 * -3 + 10n * -3) + -2n = 7n + 9 (9 + -30n) + -2n = 7n + 9 Combine like terms: -30n + -2n = -32n 9 + -32n = 7n + 9 Reorder the terms: 9 + -32n = 9 + 7n Add '-9' to each side of the equation. 9 + -9 + -32n = 9 + -9 + 7n Combine like terms: 9 + -9 = 0 0 + -32n = 9 + -9 + 7n -32n = 9 + -9 + 7n Combine like terms: 9 + -9 = 0 -32n = 0 + 7n -32n = 7n Solving -32n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -32n + -7n = 7n + -7n Combine like terms: -32n + -7n = -39n -39n = 7n + -7n Combine like terms: 7n + -7n = 0 -39n = 0 Divide each side by '-39'. n = 0 Simplifying n = 0
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