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Simplifying -7(1 + 5n) = 2n + -7 (1 * -7 + 5n * -7) = 2n + -7 (-7 + -35n) = 2n + -7 Reorder the terms: -7 + -35n = -7 + 2n Add '7' to each side of the equation. -7 + 7 + -35n = -7 + 7 + 2n Combine like terms: -7 + 7 = 0 0 + -35n = -7 + 7 + 2n -35n = -7 + 7 + 2n Combine like terms: -7 + 7 = 0 -35n = 0 + 2n -35n = 2n Solving -35n = 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. -35n + -2n = 2n + -2n Combine like terms: -35n + -2n = -37n -37n = 2n + -2n Combine like terms: 2n + -2n = 0 -37n = 0 Divide each side by '-37'. n = 0 Simplifying n = 0
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