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Simplifying -5v + 45 = 5(v + -7) Reorder the terms: 45 + -5v = 5(v + -7) Reorder the terms: 45 + -5v = 5(-7 + v) 45 + -5v = (-7 * 5 + v * 5) 45 + -5v = (-35 + 5v) Solving 45 + -5v = -35 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 45 + -5v + -5v = -35 + 5v + -5v Combine like terms: -5v + -5v = -10v 45 + -10v = -35 + 5v + -5v Combine like terms: 5v + -5v = 0 45 + -10v = -35 + 0 45 + -10v = -35 Add '-45' to each side of the equation. 45 + -45 + -10v = -35 + -45 Combine like terms: 45 + -45 = 0 0 + -10v = -35 + -45 -10v = -35 + -45 Combine like terms: -35 + -45 = -80 -10v = -80 Divide each side by '-10'. v = 8 Simplifying v = 8
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