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Simplifying 4(2 + -3v) + -7v = v + -2 (2 * 4 + -3v * 4) + -7v = v + -2 (8 + -12v) + -7v = v + -2 Combine like terms: -12v + -7v = -19v 8 + -19v = v + -2 Reorder the terms: 8 + -19v = -2 + v Solving 8 + -19v = -2 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 8 + -19v + -1v = -2 + v + -1v Combine like terms: -19v + -1v = -20v 8 + -20v = -2 + v + -1v Combine like terms: v + -1v = 0 8 + -20v = -2 + 0 8 + -20v = -2 Add '-8' to each side of the equation. 8 + -8 + -20v = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -20v = -2 + -8 -20v = -2 + -8 Combine like terms: -2 + -8 = -10 -20v = -10 Divide each side by '-20'. v = 0.5 Simplifying v = 0.5
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