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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 = 22n 35 + 22n = 21 + -18n + 18n Combine like terms: -18n + 18n = 0 35 + 22n = 21 + 0 35 + 22n = 21 Add '-35' to each side of the equation. 35 + -35 + 22n = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 22n = 21 + -35 22n = 21 + -35 Combine like terms: 21 + -35 = -14 22n = -14 Divide each side by '22'. n = -0.6363636364 Simplifying n = -0.6363636364
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