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Simplifying -40 + v = -3(7v + 6) Reorder the terms: -40 + v = -3(6 + 7v) -40 + v = (6 * -3 + 7v * -3) -40 + v = (-18 + -21v) Solving -40 + v = -18 + -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. -40 + v + 21v = -18 + -21v + 21v Combine like terms: v + 21v = 22v -40 + 22v = -18 + -21v + 21v Combine like terms: -21v + 21v = 0 -40 + 22v = -18 + 0 -40 + 22v = -18 Add '40' to each side of the equation. -40 + 40 + 22v = -18 + 40 Combine like terms: -40 + 40 = 0 0 + 22v = -18 + 40 22v = -18 + 40 Combine like terms: -18 + 40 = 22 22v = 22 Divide each side by '22'. v = 1 Simplifying v = 1
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