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Simplifying -3(4n + 3) + 5(-5n + 1) = 33 Reorder the terms: -3(3 + 4n) + 5(-5n + 1) = 33 (3 * -3 + 4n * -3) + 5(-5n + 1) = 33 (-9 + -12n) + 5(-5n + 1) = 33 Reorder the terms: -9 + -12n + 5(1 + -5n) = 33 -9 + -12n + (1 * 5 + -5n * 5) = 33 -9 + -12n + (5 + -25n) = 33 Reorder the terms: -9 + 5 + -12n + -25n = 33 Combine like terms: -9 + 5 = -4 -4 + -12n + -25n = 33 Combine like terms: -12n + -25n = -37n -4 + -37n = 33 Solving -4 + -37n = 33 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -37n = 33 + 4 Combine like terms: -4 + 4 = 0 0 + -37n = 33 + 4 -37n = 33 + 4 Combine like terms: 33 + 4 = 37 -37n = 37 Divide each side by '-37'. n = -1 Simplifying n = -1
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