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Simplifying 3(-11 + -7n) = 12(1 + 2n) (-11 * 3 + -7n * 3) = 12(1 + 2n) (-33 + -21n) = 12(1 + 2n) -33 + -21n = (1 * 12 + 2n * 12) -33 + -21n = (12 + 24n) Solving -33 + -21n = 12 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -33 + -21n + -24n = 12 + 24n + -24n Combine like terms: -21n + -24n = -45n -33 + -45n = 12 + 24n + -24n Combine like terms: 24n + -24n = 0 -33 + -45n = 12 + 0 -33 + -45n = 12 Add '33' to each side of the equation. -33 + 33 + -45n = 12 + 33 Combine like terms: -33 + 33 = 0 0 + -45n = 12 + 33 -45n = 12 + 33 Combine like terms: 12 + 33 = 45 -45n = 45 Divide each side by '-45'. n = -1 Simplifying n = -1
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