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Simplifying 3(v + -7) = 6v + -30 Reorder the terms: 3(-7 + v) = 6v + -30 (-7 * 3 + v * 3) = 6v + -30 (-21 + 3v) = 6v + -30 Reorder the terms: -21 + 3v = -30 + 6v Solving -21 + 3v = -30 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -21 + 3v + -6v = -30 + 6v + -6v Combine like terms: 3v + -6v = -3v -21 + -3v = -30 + 6v + -6v Combine like terms: 6v + -6v = 0 -21 + -3v = -30 + 0 -21 + -3v = -30 Add '21' to each side of the equation. -21 + 21 + -3v = -30 + 21 Combine like terms: -21 + 21 = 0 0 + -3v = -30 + 21 -3v = -30 + 21 Combine like terms: -30 + 21 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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