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Simplifying 4(v + -9) + -3 = -7(-2 + 5) + -4v Reorder the terms: 4(-9 + v) + -3 = -7(-2 + 5) + -4v (-9 * 4 + v * 4) + -3 = -7(-2 + 5) + -4v (-36 + 4v) + -3 = -7(-2 + 5) + -4v Reorder the terms: -36 + -3 + 4v = -7(-2 + 5) + -4v Combine like terms: -36 + -3 = -39 -39 + 4v = -7(-2 + 5) + -4v Combine like terms: -2 + 5 = 3 -39 + 4v = -7(3) + -4v Multiply -7 * 3 -39 + 4v = -21 + -4v Solving -39 + 4v = -21 + -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. -39 + 4v + 4v = -21 + -4v + 4v Combine like terms: 4v + 4v = 8v -39 + 8v = -21 + -4v + 4v Combine like terms: -4v + 4v = 0 -39 + 8v = -21 + 0 -39 + 8v = -21 Add '39' to each side of the equation. -39 + 39 + 8v = -21 + 39 Combine like terms: -39 + 39 = 0 0 + 8v = -21 + 39 8v = -21 + 39 Combine like terms: -21 + 39 = 18 8v = 18 Divide each side by '8'. v = 2.25 Simplifying v = 2.25
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