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Simplifying 7(v + -5) + -8 = -7(-4v + 5) + -5v Reorder the terms: 7(-5 + v) + -8 = -7(-4v + 5) + -5v (-5 * 7 + v * 7) + -8 = -7(-4v + 5) + -5v (-35 + 7v) + -8 = -7(-4v + 5) + -5v Reorder the terms: -35 + -8 + 7v = -7(-4v + 5) + -5v Combine like terms: -35 + -8 = -43 -43 + 7v = -7(-4v + 5) + -5v Reorder the terms: -43 + 7v = -7(5 + -4v) + -5v -43 + 7v = (5 * -7 + -4v * -7) + -5v -43 + 7v = (-35 + 28v) + -5v Combine like terms: 28v + -5v = 23v -43 + 7v = -35 + 23v Solving -43 + 7v = -35 + 23v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-23v' to each side of the equation. -43 + 7v + -23v = -35 + 23v + -23v Combine like terms: 7v + -23v = -16v -43 + -16v = -35 + 23v + -23v Combine like terms: 23v + -23v = 0 -43 + -16v = -35 + 0 -43 + -16v = -35 Add '43' to each side of the equation. -43 + 43 + -16v = -35 + 43 Combine like terms: -43 + 43 = 0 0 + -16v = -35 + 43 -16v = -35 + 43 Combine like terms: -35 + 43 = 8 -16v = 8 Divide each side by '-16'. v = -0.5 Simplifying v = -0.5
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