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Simplifying -2n + 6(7n + -5) = 40 + 5n Reorder the terms: -2n + 6(-5 + 7n) = 40 + 5n -2n + (-5 * 6 + 7n * 6) = 40 + 5n -2n + (-30 + 42n) = 40 + 5n Reorder the terms: -30 + -2n + 42n = 40 + 5n Combine like terms: -2n + 42n = 40n -30 + 40n = 40 + 5n Solving -30 + 40n = 40 + 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. -30 + 40n + -5n = 40 + 5n + -5n Combine like terms: 40n + -5n = 35n -30 + 35n = 40 + 5n + -5n Combine like terms: 5n + -5n = 0 -30 + 35n = 40 + 0 -30 + 35n = 40 Add '30' to each side of the equation. -30 + 30 + 35n = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 35n = 40 + 30 35n = 40 + 30 Combine like terms: 40 + 30 = 70 35n = 70 Divide each side by '35'. n = 2 Simplifying n = 2
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