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Simplifying -5v + -35 = 5(v + -9) Reorder the terms: -35 + -5v = 5(v + -9) Reorder the terms: -35 + -5v = 5(-9 + v) -35 + -5v = (-9 * 5 + v * 5) -35 + -5v = (-45 + 5v) Solving -35 + -5v = -45 + 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. -35 + -5v + -5v = -45 + 5v + -5v Combine like terms: -5v + -5v = -10v -35 + -10v = -45 + 5v + -5v Combine like terms: 5v + -5v = 0 -35 + -10v = -45 + 0 -35 + -10v = -45 Add '35' to each side of the equation. -35 + 35 + -10v = -45 + 35 Combine like terms: -35 + 35 = 0 0 + -10v = -45 + 35 -10v = -45 + 35 Combine like terms: -45 + 35 = -10 -10v = -10 Divide each side by '-10'. v = 1 Simplifying v = 1
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