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Simplifying 5n + -7(n + 2) = 40 + 7n Reorder the terms: 5n + -7(2 + n) = 40 + 7n 5n + (2 * -7 + n * -7) = 40 + 7n 5n + (-14 + -7n) = 40 + 7n Reorder the terms: -14 + 5n + -7n = 40 + 7n Combine like terms: 5n + -7n = -2n -14 + -2n = 40 + 7n Solving -14 + -2n = 40 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -14 + -2n + -7n = 40 + 7n + -7n Combine like terms: -2n + -7n = -9n -14 + -9n = 40 + 7n + -7n Combine like terms: 7n + -7n = 0 -14 + -9n = 40 + 0 -14 + -9n = 40 Add '14' to each side of the equation. -14 + 14 + -9n = 40 + 14 Combine like terms: -14 + 14 = 0 0 + -9n = 40 + 14 -9n = 40 + 14 Combine like terms: 40 + 14 = 54 -9n = 54 Divide each side by '-9'. n = -6 Simplifying n = -6
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