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Simplifying 4(5n + -2) = 100 + -6(n + 5) Reorder the terms: 4(-2 + 5n) = 100 + -6(n + 5) (-2 * 4 + 5n * 4) = 100 + -6(n + 5) (-8 + 20n) = 100 + -6(n + 5) Reorder the terms: -8 + 20n = 100 + -6(5 + n) -8 + 20n = 100 + (5 * -6 + n * -6) -8 + 20n = 100 + (-30 + -6n) Combine like terms: 100 + -30 = 70 -8 + 20n = 70 + -6n Solving -8 + 20n = 70 + -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 + 20n + 6n = 70 + -6n + 6n Combine like terms: 20n + 6n = 26n -8 + 26n = 70 + -6n + 6n Combine like terms: -6n + 6n = 0 -8 + 26n = 70 + 0 -8 + 26n = 70 Add '8' to each side of the equation. -8 + 8 + 26n = 70 + 8 Combine like terms: -8 + 8 = 0 0 + 26n = 70 + 8 26n = 70 + 8 Combine like terms: 70 + 8 = 78 26n = 78 Divide each side by '26'. n = 3 Simplifying n = 3
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