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Simplifying 5(2n + -3) + -2 = 4(n + 3) + 37 Reorder the terms: 5(-3 + 2n) + -2 = 4(n + 3) + 37 (-3 * 5 + 2n * 5) + -2 = 4(n + 3) + 37 (-15 + 10n) + -2 = 4(n + 3) + 37 Reorder the terms: -15 + -2 + 10n = 4(n + 3) + 37 Combine like terms: -15 + -2 = -17 -17 + 10n = 4(n + 3) + 37 Reorder the terms: -17 + 10n = 4(3 + n) + 37 -17 + 10n = (3 * 4 + n * 4) + 37 -17 + 10n = (12 + 4n) + 37 Reorder the terms: -17 + 10n = 12 + 37 + 4n Combine like terms: 12 + 37 = 49 -17 + 10n = 49 + 4n Solving -17 + 10n = 49 + 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. -17 + 10n + -4n = 49 + 4n + -4n Combine like terms: 10n + -4n = 6n -17 + 6n = 49 + 4n + -4n Combine like terms: 4n + -4n = 0 -17 + 6n = 49 + 0 -17 + 6n = 49 Add '17' to each side of the equation. -17 + 17 + 6n = 49 + 17 Combine like terms: -17 + 17 = 0 0 + 6n = 49 + 17 6n = 49 + 17 Combine like terms: 49 + 17 = 66 6n = 66 Divide each side by '6'. n = 11 Simplifying n = 11
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