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Simplifying -7(10n + -10) = -10 + -10(7 + 4n) Reorder the terms: -7(-10 + 10n) = -10 + -10(7 + 4n) (-10 * -7 + 10n * -7) = -10 + -10(7 + 4n) (70 + -70n) = -10 + -10(7 + 4n) 70 + -70n = -10 + (7 * -10 + 4n * -10) 70 + -70n = -10 + (-70 + -40n) Combine like terms: -10 + -70 = -80 70 + -70n = -80 + -40n Solving 70 + -70n = -80 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 70 + -70n + 40n = -80 + -40n + 40n Combine like terms: -70n + 40n = -30n 70 + -30n = -80 + -40n + 40n Combine like terms: -40n + 40n = 0 70 + -30n = -80 + 0 70 + -30n = -80 Add '-70' to each side of the equation. 70 + -70 + -30n = -80 + -70 Combine like terms: 70 + -70 = 0 0 + -30n = -80 + -70 -30n = -80 + -70 Combine like terms: -80 + -70 = -150 -30n = -150 Divide each side by '-30'. n = 5 Simplifying n = 5
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