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Simplifying -56 = 5(-7v + 7) + 7(-3v + -5) Reorder the terms: -56 = 5(7 + -7v) + 7(-3v + -5) -56 = (7 * 5 + -7v * 5) + 7(-3v + -5) -56 = (35 + -35v) + 7(-3v + -5) Reorder the terms: -56 = 35 + -35v + 7(-5 + -3v) -56 = 35 + -35v + (-5 * 7 + -3v * 7) -56 = 35 + -35v + (-35 + -21v) Reorder the terms: -56 = 35 + -35 + -35v + -21v Combine like terms: 35 + -35 = 0 -56 = 0 + -35v + -21v -56 = -35v + -21v Combine like terms: -35v + -21v = -56v -56 = -56v Solving -56 = -56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '56v' to each side of the equation. -56 + 56v = -56v + 56v Combine like terms: -56v + 56v = 0 -56 + 56v = 0 Add '56' to each side of the equation. -56 + 56 + 56v = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 56v = 0 + 56 56v = 0 + 56 Combine like terms: 0 + 56 = 56 56v = 56 Divide each side by '56'. v = 1 Simplifying v = 1
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