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Simplifying 5(1 + -7n) = 5 + -2n (1 * 5 + -7n * 5) = 5 + -2n (5 + -35n) = 5 + -2n Add '-5' to each side of the equation. 5 + -5 + -35n = 5 + -5 + -2n Combine like terms: 5 + -5 = 0 0 + -35n = 5 + -5 + -2n -35n = 5 + -5 + -2n Combine like terms: 5 + -5 = 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 = -33n -33n = -2n + 2n Combine like terms: -2n + 2n = 0 -33n = 0 Divide each side by '-33'. n = 0 Simplifying n = 0
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