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Simplifying 3(v + -7) + -6v = -18 Reorder the terms: 3(-7 + v) + -6v = -18 (-7 * 3 + v * 3) + -6v = -18 (-21 + 3v) + -6v = -18 Combine like terms: 3v + -6v = -3v -21 + -3v = -18 Solving -21 + -3v = -18 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 + -3v = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -3v = -18 + 21 -3v = -18 + 21 Combine like terms: -18 + 21 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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