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Simplifying -4(1 + -7n) = 10(1 + 3n) (1 * -4 + -7n * -4) = 10(1 + 3n) (-4 + 28n) = 10(1 + 3n) -4 + 28n = (1 * 10 + 3n * 10) -4 + 28n = (10 + 30n) Solving -4 + 28n = 10 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -4 + 28n + -30n = 10 + 30n + -30n Combine like terms: 28n + -30n = -2n -4 + -2n = 10 + 30n + -30n Combine like terms: 30n + -30n = 0 -4 + -2n = 10 + 0 -4 + -2n = 10 Add '4' to each side of the equation. -4 + 4 + -2n = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -2n = 10 + 4 -2n = 10 + 4 Combine like terms: 10 + 4 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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