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Simplifying -4(3n + -5) = 7n + -37 Reorder the terms: -4(-5 + 3n) = 7n + -37 (-5 * -4 + 3n * -4) = 7n + -37 (20 + -12n) = 7n + -37 Reorder the terms: 20 + -12n = -37 + 7n Solving 20 + -12n = -37 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 20 + -12n + -7n = -37 + 7n + -7n Combine like terms: -12n + -7n = -19n 20 + -19n = -37 + 7n + -7n Combine like terms: 7n + -7n = 0 20 + -19n = -37 + 0 20 + -19n = -37 Add '-20' to each side of the equation. 20 + -20 + -19n = -37 + -20 Combine like terms: 20 + -20 = 0 0 + -19n = -37 + -20 -19n = -37 + -20 Combine like terms: -37 + -20 = -57 -19n = -57 Divide each side by '-19'. n = 3 Simplifying n = 3
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