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Simplifying 5(4 + -7n) + -2(-2n + 10) = -12n + 7n (4 * 5 + -7n * 5) + -2(-2n + 10) = -12n + 7n (20 + -35n) + -2(-2n + 10) = -12n + 7n Reorder the terms: 20 + -35n + -2(10 + -2n) = -12n + 7n 20 + -35n + (10 * -2 + -2n * -2) = -12n + 7n 20 + -35n + (-20 + 4n) = -12n + 7n Reorder the terms: 20 + -20 + -35n + 4n = -12n + 7n Combine like terms: 20 + -20 = 0 0 + -35n + 4n = -12n + 7n -35n + 4n = -12n + 7n Combine like terms: -35n + 4n = -31n -31n = -12n + 7n Combine like terms: -12n + 7n = -5n -31n = -5n Solving -31n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -31n + 5n = -5n + 5n Combine like terms: -31n + 5n = -26n -26n = -5n + 5n Combine like terms: -5n + 5n = 0 -26n = 0 Divide each side by '-26'. n = 0 Simplifying n = 0
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