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Simplifying -7(v + 3) = 2(v + 3) + -5v Reorder the terms: -7(3 + v) = 2(v + 3) + -5v (3 * -7 + v * -7) = 2(v + 3) + -5v (-21 + -7v) = 2(v + 3) + -5v Reorder the terms: -21 + -7v = 2(3 + v) + -5v -21 + -7v = (3 * 2 + v * 2) + -5v -21 + -7v = (6 + 2v) + -5v Combine like terms: 2v + -5v = -3v -21 + -7v = 6 + -3v Solving -21 + -7v = 6 + -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 = 6 + -3v + 3v Combine like terms: -7v + 3v = -4v -21 + -4v = 6 + -3v + 3v Combine like terms: -3v + 3v = 0 -21 + -4v = 6 + 0 -21 + -4v = 6 Add '21' to each side of the equation. -21 + 21 + -4v = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -4v = 6 + 21 -4v = 6 + 21 Combine like terms: 6 + 21 = 27 -4v = 27 Divide each side by '-4'. v = -6.75 Simplifying v = -6.75
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