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Simplifying 120 = 8(v + 7) Reorder the terms: 120 = 8(7 + v) 120 = (7 * 8 + v * 8) 120 = (56 + 8v) Solving 120 = 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. 120 + -8v = 56 + 8v + -8v Combine like terms: 8v + -8v = 0 120 + -8v = 56 + 0 120 + -8v = 56 Add '-120' to each side of the equation. 120 + -120 + -8v = 56 + -120 Combine like terms: 120 + -120 = 0 0 + -8v = 56 + -120 -8v = 56 + -120 Combine like terms: 56 + -120 = -64 -8v = -64 Divide each side by '-8'. v = 8 Simplifying v = 8
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