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Simplifying 4(1 + -7n) = -10(8 + 7n) (1 * 4 + -7n * 4) = -10(8 + 7n) (4 + -28n) = -10(8 + 7n) 4 + -28n = (8 * -10 + 7n * -10) 4 + -28n = (-80 + -70n) Solving 4 + -28n = -80 + -70n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '70n' to each side of the equation. 4 + -28n + 70n = -80 + -70n + 70n Combine like terms: -28n + 70n = 42n 4 + 42n = -80 + -70n + 70n Combine like terms: -70n + 70n = 0 4 + 42n = -80 + 0 4 + 42n = -80 Add '-4' to each side of the equation. 4 + -4 + 42n = -80 + -4 Combine like terms: 4 + -4 = 0 0 + 42n = -80 + -4 42n = -80 + -4 Combine like terms: -80 + -4 = -84 42n = -84 Divide each side by '42'. n = -2 Simplifying n = -2
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