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Simplifying 5(n + -3) + 7 = 8 + -2(3n + -5) Reorder the terms: 5(-3 + n) + 7 = 8 + -2(3n + -5) (-3 * 5 + n * 5) + 7 = 8 + -2(3n + -5) (-15 + 5n) + 7 = 8 + -2(3n + -5) Reorder the terms: -15 + 7 + 5n = 8 + -2(3n + -5) Combine like terms: -15 + 7 = -8 -8 + 5n = 8 + -2(3n + -5) Reorder the terms: -8 + 5n = 8 + -2(-5 + 3n) -8 + 5n = 8 + (-5 * -2 + 3n * -2) -8 + 5n = 8 + (10 + -6n) Combine like terms: 8 + 10 = 18 -8 + 5n = 18 + -6n Solving -8 + 5n = 18 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -8 + 5n + 6n = 18 + -6n + 6n Combine like terms: 5n + 6n = 11n -8 + 11n = 18 + -6n + 6n Combine like terms: -6n + 6n = 0 -8 + 11n = 18 + 0 -8 + 11n = 18 Add '8' to each side of the equation. -8 + 8 + 11n = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 11n = 18 + 8 11n = 18 + 8 Combine like terms: 18 + 8 = 26 11n = 26 Divide each side by '11'. n = 2.363636364 Simplifying n = 2.363636364
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