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Simplifying 4(v + -9) + -3 = -6(-3v + 9) + -4v Reorder the terms: 4(-9 + v) + -3 = -6(-3v + 9) + -4v (-9 * 4 + v * 4) + -3 = -6(-3v + 9) + -4v (-36 + 4v) + -3 = -6(-3v + 9) + -4v Reorder the terms: -36 + -3 + 4v = -6(-3v + 9) + -4v Combine like terms: -36 + -3 = -39 -39 + 4v = -6(-3v + 9) + -4v Reorder the terms: -39 + 4v = -6(9 + -3v) + -4v -39 + 4v = (9 * -6 + -3v * -6) + -4v -39 + 4v = (-54 + 18v) + -4v Combine like terms: 18v + -4v = 14v -39 + 4v = -54 + 14v Solving -39 + 4v = -54 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -39 + 4v + -14v = -54 + 14v + -14v Combine like terms: 4v + -14v = -10v -39 + -10v = -54 + 14v + -14v Combine like terms: 14v + -14v = 0 -39 + -10v = -54 + 0 -39 + -10v = -54 Add '39' to each side of the equation. -39 + 39 + -10v = -54 + 39 Combine like terms: -39 + 39 = 0 0 + -10v = -54 + 39 -10v = -54 + 39 Combine like terms: -54 + 39 = -15 -10v = -15 Divide each side by '-10'. v = 1.5 Simplifying v = 1.5
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