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Simplifying 112 = 8(v + 7) Reorder the terms: 112 = 8(7 + v) 112 = (7 * 8 + v * 8) 112 = (56 + 8v) Solving 112 = 56 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 112 + -8v = 56 + 8v + -8v Combine like terms: 8v + -8v = 0 112 + -8v = 56 + 0 112 + -8v = 56 Add '-112' to each side of the equation. 112 + -112 + -8v = 56 + -112 Combine like terms: 112 + -112 = 0 0 + -8v = 56 + -112 -8v = 56 + -112 Combine like terms: 56 + -112 = -56 -8v = -56 Divide each side by '-8'. v = 7 Simplifying v = 7
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