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Simplifying -10(6n + -7) = 2(10n + -5) Reorder the terms: -10(-7 + 6n) = 2(10n + -5) (-7 * -10 + 6n * -10) = 2(10n + -5) (70 + -60n) = 2(10n + -5) Reorder the terms: 70 + -60n = 2(-5 + 10n) 70 + -60n = (-5 * 2 + 10n * 2) 70 + -60n = (-10 + 20n) Solving 70 + -60n = -10 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 70 + -60n + -20n = -10 + 20n + -20n Combine like terms: -60n + -20n = -80n 70 + -80n = -10 + 20n + -20n Combine like terms: 20n + -20n = 0 70 + -80n = -10 + 0 70 + -80n = -10 Add '-70' to each side of the equation. 70 + -70 + -80n = -10 + -70 Combine like terms: 70 + -70 = 0 0 + -80n = -10 + -70 -80n = -10 + -70 Combine like terms: -10 + -70 = -80 -80n = -80 Divide each side by '-80'. n = 1 Simplifying n = 1
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