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Simplifying 10v + 56 = 7(v + 8) Reorder the terms: 56 + 10v = 7(v + 8) Reorder the terms: 56 + 10v = 7(8 + v) 56 + 10v = (8 * 7 + v * 7) 56 + 10v = (56 + 7v) Add '-56' to each side of the equation. 56 + -56 + 10v = 56 + -56 + 7v Combine like terms: 56 + -56 = 0 0 + 10v = 56 + -56 + 7v 10v = 56 + -56 + 7v Combine like terms: 56 + -56 = 0 10v = 0 + 7v 10v = 7v Solving 10v = 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 10v + -7v = 7v + -7v Combine like terms: 10v + -7v = 3v 3v = 7v + -7v Combine like terms: 7v + -7v = 0 3v = 0 Divide each side by '3'. v = 0 Simplifying v = 0
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