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Simplifying 3(2n + -11) = 3(n + 10) Reorder the terms: 3(-11 + 2n) = 3(n + 10) (-11 * 3 + 2n * 3) = 3(n + 10) (-33 + 6n) = 3(n + 10) Reorder the terms: -33 + 6n = 3(10 + n) -33 + 6n = (10 * 3 + n * 3) -33 + 6n = (30 + 3n) Solving -33 + 6n = 30 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -33 + 6n + -3n = 30 + 3n + -3n Combine like terms: 6n + -3n = 3n -33 + 3n = 30 + 3n + -3n Combine like terms: 3n + -3n = 0 -33 + 3n = 30 + 0 -33 + 3n = 30 Add '33' to each side of the equation. -33 + 33 + 3n = 30 + 33 Combine like terms: -33 + 33 = 0 0 + 3n = 30 + 33 3n = 30 + 33 Combine like terms: 30 + 33 = 63 3n = 63 Divide each side by '3'. n = 21 Simplifying n = 21
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