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Simplifying 3(v + -1) + -7 = -2(-8v + 6) + -5v Reorder the terms: 3(-1 + v) + -7 = -2(-8v + 6) + -5v (-1 * 3 + v * 3) + -7 = -2(-8v + 6) + -5v (-3 + 3v) + -7 = -2(-8v + 6) + -5v Reorder the terms: -3 + -7 + 3v = -2(-8v + 6) + -5v Combine like terms: -3 + -7 = -10 -10 + 3v = -2(-8v + 6) + -5v Reorder the terms: -10 + 3v = -2(6 + -8v) + -5v -10 + 3v = (6 * -2 + -8v * -2) + -5v -10 + 3v = (-12 + 16v) + -5v Combine like terms: 16v + -5v = 11v -10 + 3v = -12 + 11v Solving -10 + 3v = -12 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -10 + 3v + -11v = -12 + 11v + -11v Combine like terms: 3v + -11v = -8v -10 + -8v = -12 + 11v + -11v Combine like terms: 11v + -11v = 0 -10 + -8v = -12 + 0 -10 + -8v = -12 Add '10' to each side of the equation. -10 + 10 + -8v = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -8v = -12 + 10 -8v = -12 + 10 Combine like terms: -12 + 10 = -2 -8v = -2 Divide each side by '-8'. v = 0.25 Simplifying v = 0.25
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