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Simplifying 2n + -40 = 7n + -2(1 + -7n) Reorder the terms: -40 + 2n = 7n + -2(1 + -7n) -40 + 2n = 7n + (1 * -2 + -7n * -2) -40 + 2n = 7n + (-2 + 14n) Reorder the terms: -40 + 2n = -2 + 7n + 14n Combine like terms: 7n + 14n = 21n -40 + 2n = -2 + 21n Solving -40 + 2n = -2 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -40 + 2n + -21n = -2 + 21n + -21n Combine like terms: 2n + -21n = -19n -40 + -19n = -2 + 21n + -21n Combine like terms: 21n + -21n = 0 -40 + -19n = -2 + 0 -40 + -19n = -2 Add '40' to each side of the equation. -40 + 40 + -19n = -2 + 40 Combine like terms: -40 + 40 = 0 0 + -19n = -2 + 40 -19n = -2 + 40 Combine like terms: -2 + 40 = 38 -19n = 38 Divide each side by '-19'. n = -2 Simplifying n = -2
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