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Simplifying 5(-2 + 1) + 3(4n + -6) = -21 Combine like terms: -2 + 1 = -1 5(-1) + 3(4n + -6) = -21 Multiply 5 * -1 -5 + 3(4n + -6) = -21 Reorder the terms: -5 + 3(-6 + 4n) = -21 -5 + (-6 * 3 + 4n * 3) = -21 -5 + (-18 + 12n) = -21 Combine like terms: -5 + -18 = -23 -23 + 12n = -21 Solving -23 + 12n = -21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 12n = -21 + 23 Combine like terms: -23 + 23 = 0 0 + 12n = -21 + 23 12n = -21 + 23 Combine like terms: -21 + 23 = 2 12n = 2 Divide each side by '12'. n = 0.1666666667 Simplifying n = 0.1666666667
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