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Simplifying 5(2n + -5) = -37 + 4n Reorder the terms: 5(-5 + 2n) = -37 + 4n (-5 * 5 + 2n * 5) = -37 + 4n (-25 + 10n) = -37 + 4n Solving -25 + 10n = -37 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -25 + 10n + -4n = -37 + 4n + -4n Combine like terms: 10n + -4n = 6n -25 + 6n = -37 + 4n + -4n Combine like terms: 4n + -4n = 0 -25 + 6n = -37 + 0 -25 + 6n = -37 Add '25' to each side of the equation. -25 + 25 + 6n = -37 + 25 Combine like terms: -25 + 25 = 0 0 + 6n = -37 + 25 6n = -37 + 25 Combine like terms: -37 + 25 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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