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Simplifying 4(1 + 5n) = 7n + -3(-6n + 3) (1 * 4 + 5n * 4) = 7n + -3(-6n + 3) (4 + 20n) = 7n + -3(-6n + 3) Reorder the terms: 4 + 20n = 7n + -3(3 + -6n) 4 + 20n = 7n + (3 * -3 + -6n * -3) 4 + 20n = 7n + (-9 + 18n) Reorder the terms: 4 + 20n = -9 + 7n + 18n Combine like terms: 7n + 18n = 25n 4 + 20n = -9 + 25n Solving 4 + 20n = -9 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. 4 + 20n + -25n = -9 + 25n + -25n Combine like terms: 20n + -25n = -5n 4 + -5n = -9 + 25n + -25n Combine like terms: 25n + -25n = 0 4 + -5n = -9 + 0 4 + -5n = -9 Add '-4' to each side of the equation. 4 + -4 + -5n = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -5n = -9 + -4 -5n = -9 + -4 Combine like terms: -9 + -4 = -13 -5n = -13 Divide each side by '-5'. n = 2.6 Simplifying n = 2.6
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