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Simplifying 3v + -29 = -4(v + 2) Reorder the terms: -29 + 3v = -4(v + 2) Reorder the terms: -29 + 3v = -4(2 + v) -29 + 3v = (2 * -4 + v * -4) -29 + 3v = (-8 + -4v) Solving -29 + 3v = -8 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -29 + 3v + 4v = -8 + -4v + 4v Combine like terms: 3v + 4v = 7v -29 + 7v = -8 + -4v + 4v Combine like terms: -4v + 4v = 0 -29 + 7v = -8 + 0 -29 + 7v = -8 Add '29' to each side of the equation. -29 + 29 + 7v = -8 + 29 Combine like terms: -29 + 29 = 0 0 + 7v = -8 + 29 7v = -8 + 29 Combine like terms: -8 + 29 = 21 7v = 21 Divide each side by '7'. v = 3 Simplifying v = 3
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