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Simplifying 4(v + -2) + -1 = -3(-6v + 9) + -4v Reorder the terms: 4(-2 + v) + -1 = -3(-6v + 9) + -4v (-2 * 4 + v * 4) + -1 = -3(-6v + 9) + -4v (-8 + 4v) + -1 = -3(-6v + 9) + -4v Reorder the terms: -8 + -1 + 4v = -3(-6v + 9) + -4v Combine like terms: -8 + -1 = -9 -9 + 4v = -3(-6v + 9) + -4v Reorder the terms: -9 + 4v = -3(9 + -6v) + -4v -9 + 4v = (9 * -3 + -6v * -3) + -4v -9 + 4v = (-27 + 18v) + -4v Combine like terms: 18v + -4v = 14v -9 + 4v = -27 + 14v Solving -9 + 4v = -27 + 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. -9 + 4v + -14v = -27 + 14v + -14v Combine like terms: 4v + -14v = -10v -9 + -10v = -27 + 14v + -14v Combine like terms: 14v + -14v = 0 -9 + -10v = -27 + 0 -9 + -10v = -27 Add '9' to each side of the equation. -9 + 9 + -10v = -27 + 9 Combine like terms: -9 + 9 = 0 0 + -10v = -27 + 9 -10v = -27 + 9 Combine like terms: -27 + 9 = -18 -10v = -18 Divide each side by '-10'. v = 1.8 Simplifying v = 1.8
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