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Simplifying 5(v + -1) + -6 = -7(-4v + 2) + -8v Reorder the terms: 5(-1 + v) + -6 = -7(-4v + 2) + -8v (-1 * 5 + v * 5) + -6 = -7(-4v + 2) + -8v (-5 + 5v) + -6 = -7(-4v + 2) + -8v Reorder the terms: -5 + -6 + 5v = -7(-4v + 2) + -8v Combine like terms: -5 + -6 = -11 -11 + 5v = -7(-4v + 2) + -8v Reorder the terms: -11 + 5v = -7(2 + -4v) + -8v -11 + 5v = (2 * -7 + -4v * -7) + -8v -11 + 5v = (-14 + 28v) + -8v Combine like terms: 28v + -8v = 20v -11 + 5v = -14 + 20v Solving -11 + 5v = -14 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -11 + 5v + -20v = -14 + 20v + -20v Combine like terms: 5v + -20v = -15v -11 + -15v = -14 + 20v + -20v Combine like terms: 20v + -20v = 0 -11 + -15v = -14 + 0 -11 + -15v = -14 Add '11' to each side of the equation. -11 + 11 + -15v = -14 + 11 Combine like terms: -11 + 11 = 0 0 + -15v = -14 + 11 -15v = -14 + 11 Combine like terms: -14 + 11 = -3 -15v = -3 Divide each side by '-15'. v = 0.2 Simplifying v = 0.2
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