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Simplifying 4n + 35 = -3(-6n + -7) Reorder the terms: 35 + 4n = -3(-6n + -7) Reorder the terms: 35 + 4n = -3(-7 + -6n) 35 + 4n = (-7 * -3 + -6n * -3) 35 + 4n = (21 + 18n) Solving 35 + 4n = 21 + 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 + 4n + -18n = 21 + 18n + -18n Combine like terms: 4n + -18n = -14n 35 + -14n = 21 + 18n + -18n Combine like terms: 18n + -18n = 0 35 + -14n = 21 + 0 35 + -14n = 21 Add '-35' to each side of the equation. 35 + -35 + -14n = 21 + -35 Combine like terms: 35 + -35 = 0 0 + -14n = 21 + -35 -14n = 21 + -35 Combine like terms: 21 + -35 = -14 -14n = -14 Divide each side by '-14'. n = 1 Simplifying n = 1
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