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Simplifying 4(v + -2) = -7(v + 3) Reorder the terms: 4(-2 + v) = -7(v + 3) (-2 * 4 + v * 4) = -7(v + 3) (-8 + 4v) = -7(v + 3) Reorder the terms: -8 + 4v = -7(3 + v) -8 + 4v = (3 * -7 + v * -7) -8 + 4v = (-21 + -7v) Solving -8 + 4v = -21 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -8 + 4v + 7v = -21 + -7v + 7v Combine like terms: 4v + 7v = 11v -8 + 11v = -21 + -7v + 7v Combine like terms: -7v + 7v = 0 -8 + 11v = -21 + 0 -8 + 11v = -21 Add '8' to each side of the equation. -8 + 8 + 11v = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 11v = -21 + 8 11v = -21 + 8 Combine like terms: -21 + 8 = -13 11v = -13 Divide each side by '11'. v = -1.181818182 Simplifying v = -1.181818182
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