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Simplifying 3(v + -2) = 7v + 1 + -2(-7v + -4) Reorder the terms: 3(-2 + v) = 7v + 1 + -2(-7v + -4) (-2 * 3 + v * 3) = 7v + 1 + -2(-7v + -4) (-6 + 3v) = 7v + 1 + -2(-7v + -4) Reorder the terms: -6 + 3v = 7v + 1 + -2(-4 + -7v) -6 + 3v = 7v + 1 + (-4 * -2 + -7v * -2) -6 + 3v = 7v + 1 + (8 + 14v) Reorder the terms: -6 + 3v = 1 + 8 + 7v + 14v Combine like terms: 1 + 8 = 9 -6 + 3v = 9 + 7v + 14v Combine like terms: 7v + 14v = 21v -6 + 3v = 9 + 21v Solving -6 + 3v = 9 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -6 + 3v + -21v = 9 + 21v + -21v Combine like terms: 3v + -21v = -18v -6 + -18v = 9 + 21v + -21v Combine like terms: 21v + -21v = 0 -6 + -18v = 9 + 0 -6 + -18v = 9 Add '6' to each side of the equation. -6 + 6 + -18v = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -18v = 9 + 6 -18v = 9 + 6 Combine like terms: 9 + 6 = 15 -18v = 15 Divide each side by '-18'. v = -0.8333333333 Simplifying v = -0.8333333333
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