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Simplifying -35 + -5n = -3(4n + 7) Reorder the terms: -35 + -5n = -3(7 + 4n) -35 + -5n = (7 * -3 + 4n * -3) -35 + -5n = (-21 + -12n) Solving -35 + -5n = -21 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -35 + -5n + 12n = -21 + -12n + 12n Combine like terms: -5n + 12n = 7n -35 + 7n = -21 + -12n + 12n Combine like terms: -12n + 12n = 0 -35 + 7n = -21 + 0 -35 + 7n = -21 Add '35' to each side of the equation. -35 + 35 + 7n = -21 + 35 Combine like terms: -35 + 35 = 0 0 + 7n = -21 + 35 7n = -21 + 35 Combine like terms: -21 + 35 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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