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Simplifying 2(2n + -11) + -9 = 3n + 10(n + 5) Reorder the terms: 2(-11 + 2n) + -9 = 3n + 10(n + 5) (-11 * 2 + 2n * 2) + -9 = 3n + 10(n + 5) (-22 + 4n) + -9 = 3n + 10(n + 5) Reorder the terms: -22 + -9 + 4n = 3n + 10(n + 5) Combine like terms: -22 + -9 = -31 -31 + 4n = 3n + 10(n + 5) Reorder the terms: -31 + 4n = 3n + 10(5 + n) -31 + 4n = 3n + (5 * 10 + n * 10) -31 + 4n = 3n + (50 + 10n) Reorder the terms: -31 + 4n = 50 + 3n + 10n Combine like terms: 3n + 10n = 13n -31 + 4n = 50 + 13n Solving -31 + 4n = 50 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -31 + 4n + -13n = 50 + 13n + -13n Combine like terms: 4n + -13n = -9n -31 + -9n = 50 + 13n + -13n Combine like terms: 13n + -13n = 0 -31 + -9n = 50 + 0 -31 + -9n = 50 Add '31' to each side of the equation. -31 + 31 + -9n = 50 + 31 Combine like terms: -31 + 31 = 0 0 + -9n = 50 + 31 -9n = 50 + 31 Combine like terms: 50 + 31 = 81 -9n = 81 Divide each side by '-9'. n = -9 Simplifying n = -9
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