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Simplifying -3(v + -7) = -8v + 36 Reorder the terms: -3(-7 + v) = -8v + 36 (-7 * -3 + v * -3) = -8v + 36 (21 + -3v) = -8v + 36 Reorder the terms: 21 + -3v = 36 + -8v Solving 21 + -3v = 36 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 21 + -3v + 8v = 36 + -8v + 8v Combine like terms: -3v + 8v = 5v 21 + 5v = 36 + -8v + 8v Combine like terms: -8v + 8v = 0 21 + 5v = 36 + 0 21 + 5v = 36 Add '-21' to each side of the equation. 21 + -21 + 5v = 36 + -21 Combine like terms: 21 + -21 = 0 0 + 5v = 36 + -21 5v = 36 + -21 Combine like terms: 36 + -21 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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