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Simplifying -7(v + -3) = 3v + -9 Reorder the terms: -7(-3 + v) = 3v + -9 (-3 * -7 + v * -7) = 3v + -9 (21 + -7v) = 3v + -9 Reorder the terms: 21 + -7v = -9 + 3v Solving 21 + -7v = -9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 21 + -7v + -3v = -9 + 3v + -3v Combine like terms: -7v + -3v = -10v 21 + -10v = -9 + 3v + -3v Combine like terms: 3v + -3v = 0 21 + -10v = -9 + 0 21 + -10v = -9 Add '-21' to each side of the equation. 21 + -21 + -10v = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -10v = -9 + -21 -10v = -9 + -21 Combine like terms: -9 + -21 = -30 -10v = -30 Divide each side by '-10'. v = 3 Simplifying v = 3
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