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Simplifying 420 = 7(-8v + 4) Reorder the terms: 420 = 7(4 + -8v) 420 = (4 * 7 + -8v * 7) 420 = (28 + -56v) Solving 420 = 28 + -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. 420 + 56v = 28 + -56v + 56v Combine like terms: -56v + 56v = 0 420 + 56v = 28 + 0 420 + 56v = 28 Add '-420' to each side of the equation. 420 + -420 + 56v = 28 + -420 Combine like terms: 420 + -420 = 0 0 + 56v = 28 + -420 56v = 28 + -420 Combine like terms: 28 + -420 = -392 56v = -392 Divide each side by '56'. v = -7 Simplifying v = -7
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