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Simplifying -3(7 + v) = 5v + -5 (7 * -3 + v * -3) = 5v + -5 (-21 + -3v) = 5v + -5 Reorder the terms: -21 + -3v = -5 + 5v Solving -21 + -3v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -21 + -3v + -5v = -5 + 5v + -5v Combine like terms: -3v + -5v = -8v -21 + -8v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 -21 + -8v = -5 + 0 -21 + -8v = -5 Add '21' to each side of the equation. -21 + 21 + -8v = -5 + 21 Combine like terms: -21 + 21 = 0 0 + -8v = -5 + 21 -8v = -5 + 21 Combine like terms: -5 + 21 = 16 -8v = 16 Divide each side by '-8'. v = -2 Simplifying v = -2
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