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Simplifying 3(v + -1) = 0.5(7v + 8) Reorder the terms: 3(-1 + v) = 0.5(7v + 8) (-1 * 3 + v * 3) = 0.5(7v + 8) (-3 + 3v) = 0.5(7v + 8) Reorder the terms: -3 + 3v = 0.5(8 + 7v) -3 + 3v = (8 * 0.5 + 7v * 0.5) -3 + 3v = (4 + 3.5v) Solving -3 + 3v = 4 + 3.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3.5v' to each side of the equation. -3 + 3v + -3.5v = 4 + 3.5v + -3.5v Combine like terms: 3v + -3.5v = -0.5v -3 + -0.5v = 4 + 3.5v + -3.5v Combine like terms: 3.5v + -3.5v = 0.0 -3 + -0.5v = 4 + 0.0 -3 + -0.5v = 4 Add '3' to each side of the equation. -3 + 3 + -0.5v = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -0.5v = 4 + 3 -0.5v = 4 + 3 Combine like terms: 4 + 3 = 7 -0.5v = 7 Divide each side by '-0.5'. v = -14 Simplifying v = -14
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