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Simplifying -7(v + 3) = 2v + -30 Reorder the terms: -7(3 + v) = 2v + -30 (3 * -7 + v * -7) = 2v + -30 (-21 + -7v) = 2v + -30 Reorder the terms: -21 + -7v = -30 + 2v Solving -21 + -7v = -30 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -21 + -7v + -2v = -30 + 2v + -2v Combine like terms: -7v + -2v = -9v -21 + -9v = -30 + 2v + -2v Combine like terms: 2v + -2v = 0 -21 + -9v = -30 + 0 -21 + -9v = -30 Add '21' to each side of the equation. -21 + 21 + -9v = -30 + 21 Combine like terms: -21 + 21 = 0 0 + -9v = -30 + 21 -9v = -30 + 21 Combine like terms: -30 + 21 = -9 -9v = -9 Divide each side by '-9'. v = 1 Simplifying v = 1
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