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Simplifying 5(v + -3) + -7v = -21 Reorder the terms: 5(-3 + v) + -7v = -21 (-3 * 5 + v * 5) + -7v = -21 (-15 + 5v) + -7v = -21 Combine like terms: 5v + -7v = -2v -15 + -2v = -21 Solving -15 + -2v = -21 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2v = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -2v = -21 + 15 -2v = -21 + 15 Combine like terms: -21 + 15 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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