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Simplifying -35 + -5n = -4(1 + 3n) + -3 -35 + -5n = (1 * -4 + 3n * -4) + -3 -35 + -5n = (-4 + -12n) + -3 Reorder the terms: -35 + -5n = -4 + -3 + -12n Combine like terms: -4 + -3 = -7 -35 + -5n = -7 + -12n Solving -35 + -5n = -7 + -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 = -7 + -12n + 12n Combine like terms: -5n + 12n = 7n -35 + 7n = -7 + -12n + 12n Combine like terms: -12n + 12n = 0 -35 + 7n = -7 + 0 -35 + 7n = -7 Add '35' to each side of the equation. -35 + 35 + 7n = -7 + 35 Combine like terms: -35 + 35 = 0 0 + 7n = -7 + 35 7n = -7 + 35 Combine like terms: -7 + 35 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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