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Simplifying 7(1 + 5n) = -26 + 2n (1 * 7 + 5n * 7) = -26 + 2n (7 + 35n) = -26 + 2n Solving 7 + 35n = -26 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 7 + 35n + -2n = -26 + 2n + -2n Combine like terms: 35n + -2n = 33n 7 + 33n = -26 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + 33n = -26 + 0 7 + 33n = -26 Add '-7' to each side of the equation. 7 + -7 + 33n = -26 + -7 Combine like terms: 7 + -7 = 0 0 + 33n = -26 + -7 33n = -26 + -7 Combine like terms: -26 + -7 = -33 33n = -33 Divide each side by '33'. n = -1 Simplifying n = -1
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