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Simplifying 4v + -8 = 7(v + -5) Reorder the terms: -8 + 4v = 7(v + -5) Reorder the terms: -8 + 4v = 7(-5 + v) -8 + 4v = (-5 * 7 + v * 7) -8 + 4v = (-35 + 7v) Solving -8 + 4v = -35 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -8 + 4v + -7v = -35 + 7v + -7v Combine like terms: 4v + -7v = -3v -8 + -3v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 -8 + -3v = -35 + 0 -8 + -3v = -35 Add '8' to each side of the equation. -8 + 8 + -3v = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -3v = -35 + 8 -3v = -35 + 8 Combine like terms: -35 + 8 = -27 -3v = -27 Divide each side by '-3'. v = 9 Simplifying v = 9
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