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Simplifying 4(v + -3) + -6 = -7(-2v + 3) + -1v Reorder the terms: 4(-3 + v) + -6 = -7(-2v + 3) + -1v (-3 * 4 + v * 4) + -6 = -7(-2v + 3) + -1v (-12 + 4v) + -6 = -7(-2v + 3) + -1v Reorder the terms: -12 + -6 + 4v = -7(-2v + 3) + -1v Combine like terms: -12 + -6 = -18 -18 + 4v = -7(-2v + 3) + -1v Reorder the terms: -18 + 4v = -7(3 + -2v) + -1v -18 + 4v = (3 * -7 + -2v * -7) + -1v -18 + 4v = (-21 + 14v) + -1v Combine like terms: 14v + -1v = 13v -18 + 4v = -21 + 13v Solving -18 + 4v = -21 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -18 + 4v + -13v = -21 + 13v + -13v Combine like terms: 4v + -13v = -9v -18 + -9v = -21 + 13v + -13v Combine like terms: 13v + -13v = 0 -18 + -9v = -21 + 0 -18 + -9v = -21 Add '18' to each side of the equation. -18 + 18 + -9v = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -9v = -21 + 18 -9v = -21 + 18 Combine like terms: -21 + 18 = -3 -9v = -3 Divide each side by '-9'. v = 0.3333333333 Simplifying v = 0.3333333333
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