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Simplifying -7 + 2n = -7(1 + 5n) -7 + 2n = (1 * -7 + 5n * -7) -7 + 2n = (-7 + -35n) Add '7' to each side of the equation. -7 + 7 + 2n = -7 + 7 + -35n Combine like terms: -7 + 7 = 0 0 + 2n = -7 + 7 + -35n 2n = -7 + 7 + -35n Combine like terms: -7 + 7 = 0 2n = 0 + -35n 2n = -35n Solving 2n = -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 2n + 35n = -35n + 35n Combine like terms: 2n + 35n = 37n 37n = -35n + 35n Combine like terms: -35n + 35n = 0 37n = 0 Divide each side by '37'. n = 0 Simplifying n = 0
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