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Simplifying 4(n + -9) = 5(2n + 6) Reorder the terms: 4(-9 + n) = 5(2n + 6) (-9 * 4 + n * 4) = 5(2n + 6) (-36 + 4n) = 5(2n + 6) Reorder the terms: -36 + 4n = 5(6 + 2n) -36 + 4n = (6 * 5 + 2n * 5) -36 + 4n = (30 + 10n) Solving -36 + 4n = 30 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -36 + 4n + -10n = 30 + 10n + -10n Combine like terms: 4n + -10n = -6n -36 + -6n = 30 + 10n + -10n Combine like terms: 10n + -10n = 0 -36 + -6n = 30 + 0 -36 + -6n = 30 Add '36' to each side of the equation. -36 + 36 + -6n = 30 + 36 Combine like terms: -36 + 36 = 0 0 + -6n = 30 + 36 -6n = 30 + 36 Combine like terms: 30 + 36 = 66 -6n = 66 Divide each side by '-6'. n = -11 Simplifying n = -11
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