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Simplifying 7v + 40 = -8(7v + -5) Reorder the terms: 40 + 7v = -8(7v + -5) Reorder the terms: 40 + 7v = -8(-5 + 7v) 40 + 7v = (-5 * -8 + 7v * -8) 40 + 7v = (40 + -56v) Add '-40' to each side of the equation. 40 + -40 + 7v = 40 + -40 + -56v Combine like terms: 40 + -40 = 0 0 + 7v = 40 + -40 + -56v 7v = 40 + -40 + -56v Combine like terms: 40 + -40 = 0 7v = 0 + -56v 7v = -56v Solving 7v = -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. 7v + 56v = -56v + 56v Combine like terms: 7v + 56v = 63v 63v = -56v + 56v Combine like terms: -56v + 56v = 0 63v = 0 Divide each side by '63'. v = 0 Simplifying v = 0
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