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Simplifying 5(v + -8) + -8 = -7(-4v + 9) + -5v Reorder the terms: 5(-8 + v) + -8 = -7(-4v + 9) + -5v (-8 * 5 + v * 5) + -8 = -7(-4v + 9) + -5v (-40 + 5v) + -8 = -7(-4v + 9) + -5v Reorder the terms: -40 + -8 + 5v = -7(-4v + 9) + -5v Combine like terms: -40 + -8 = -48 -48 + 5v = -7(-4v + 9) + -5v Reorder the terms: -48 + 5v = -7(9 + -4v) + -5v -48 + 5v = (9 * -7 + -4v * -7) + -5v -48 + 5v = (-63 + 28v) + -5v Combine like terms: 28v + -5v = 23v -48 + 5v = -63 + 23v Solving -48 + 5v = -63 + 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. -48 + 5v + -23v = -63 + 23v + -23v Combine like terms: 5v + -23v = -18v -48 + -18v = -63 + 23v + -23v Combine like terms: 23v + -23v = 0 -48 + -18v = -63 + 0 -48 + -18v = -63 Add '48' to each side of the equation. -48 + 48 + -18v = -63 + 48 Combine like terms: -48 + 48 = 0 0 + -18v = -63 + 48 -18v = -63 + 48 Combine like terms: -63 + 48 = -15 -18v = -15 Divide each side by '-18'. v = 0.8333333333 Simplifying v = 0.8333333333
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