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Simplifying -7n + -35 = -3(6n + -5) + -6 Reorder the terms: -35 + -7n = -3(6n + -5) + -6 Reorder the terms: -35 + -7n = -3(-5 + 6n) + -6 -35 + -7n = (-5 * -3 + 6n * -3) + -6 -35 + -7n = (15 + -18n) + -6 Reorder the terms: -35 + -7n = 15 + -6 + -18n Combine like terms: 15 + -6 = 9 -35 + -7n = 9 + -18n Solving -35 + -7n = 9 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -35 + -7n + 18n = 9 + -18n + 18n Combine like terms: -7n + 18n = 11n -35 + 11n = 9 + -18n + 18n Combine like terms: -18n + 18n = 0 -35 + 11n = 9 + 0 -35 + 11n = 9 Add '35' to each side of the equation. -35 + 35 + 11n = 9 + 35 Combine like terms: -35 + 35 = 0 0 + 11n = 9 + 35 11n = 9 + 35 Combine like terms: 9 + 35 = 44 11n = 44 Divide each side by '11'. n = 4 Simplifying n = 4
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