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Simplifying -175 = 5(4v + -7) Reorder the terms: -175 = 5(-7 + 4v) -175 = (-7 * 5 + 4v * 5) -175 = (-35 + 20v) Solving -175 = -35 + 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. -175 + -20v = -35 + 20v + -20v Combine like terms: 20v + -20v = 0 -175 + -20v = -35 + 0 -175 + -20v = -35 Add '175' to each side of the equation. -175 + 175 + -20v = -35 + 175 Combine like terms: -175 + 175 = 0 0 + -20v = -35 + 175 -20v = -35 + 175 Combine like terms: -35 + 175 = 140 -20v = 140 Divide each side by '-20'. v = -7 Simplifying v = -7
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