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Simplifying 40 + -7n = 7(1 + -6n) + 2n 40 + -7n = (1 * 7 + -6n * 7) + 2n 40 + -7n = (7 + -42n) + 2n Combine like terms: -42n + 2n = -40n 40 + -7n = 7 + -40n Solving 40 + -7n = 7 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 40 + -7n + 40n = 7 + -40n + 40n Combine like terms: -7n + 40n = 33n 40 + 33n = 7 + -40n + 40n Combine like terms: -40n + 40n = 0 40 + 33n = 7 + 0 40 + 33n = 7 Add '-40' to each side of the equation. 40 + -40 + 33n = 7 + -40 Combine like terms: 40 + -40 = 0 0 + 33n = 7 + -40 33n = 7 + -40 Combine like terms: 7 + -40 = -33 33n = -33 Divide each side by '33'. n = -1 Simplifying n = -1
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