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Simplifying -33 = -6(3 + -2n) + -1(7n + 5) -33 = (3 * -6 + -2n * -6) + -1(7n + 5) -33 = (-18 + 12n) + -1(7n + 5) Reorder the terms: -33 = -18 + 12n + -1(5 + 7n) -33 = -18 + 12n + (5 * -1 + 7n * -1) -33 = -18 + 12n + (-5 + -7n) Reorder the terms: -33 = -18 + -5 + 12n + -7n Combine like terms: -18 + -5 = -23 -33 = -23 + 12n + -7n Combine like terms: 12n + -7n = 5n -33 = -23 + 5n Solving -33 = -23 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -33 + -5n = -23 + 5n + -5n Combine like terms: 5n + -5n = 0 -33 + -5n = -23 + 0 -33 + -5n = -23 Add '33' to each side of the equation. -33 + 33 + -5n = -23 + 33 Combine like terms: -33 + 33 = 0 0 + -5n = -23 + 33 -5n = -23 + 33 Combine like terms: -23 + 33 = 10 -5n = 10 Divide each side by '-5'. n = -2 Simplifying n = -2
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