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Simplifying -7(n + 5) = -3(1 + n) Reorder the terms: -7(5 + n) = -3(1 + n) (5 * -7 + n * -7) = -3(1 + n) (-35 + -7n) = -3(1 + n) -35 + -7n = (1 * -3 + n * -3) -35 + -7n = (-3 + -3n) Solving -35 + -7n = -3 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -35 + -7n + 3n = -3 + -3n + 3n Combine like terms: -7n + 3n = -4n -35 + -4n = -3 + -3n + 3n Combine like terms: -3n + 3n = 0 -35 + -4n = -3 + 0 -35 + -4n = -3 Add '35' to each side of the equation. -35 + 35 + -4n = -3 + 35 Combine like terms: -35 + 35 = 0 0 + -4n = -3 + 35 -4n = -3 + 35 Combine like terms: -3 + 35 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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