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Simplifying 3(v + -7) + -7v = 11 Reorder the terms: 3(-7 + v) + -7v = 11 (-7 * 3 + v * 3) + -7v = 11 (-21 + 3v) + -7v = 11 Combine like terms: 3v + -7v = -4v -21 + -4v = 11 Solving -21 + -4v = 11 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4v = 11 + 21 Combine like terms: -21 + 21 = 0 0 + -4v = 11 + 21 -4v = 11 + 21 Combine like terms: 11 + 21 = 32 -4v = 32 Divide each side by '-4'. v = -8 Simplifying v = -8
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