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Simplifying -20 = -2 + 8(v + 7) Reorder the terms: -20 = -2 + 8(7 + v) -20 = -2 + (7 * 8 + v * 8) -20 = -2 + (56 + 8v) Combine like terms: -2 + 56 = 54 -20 = 54 + 8v Solving -20 = 54 + 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. -20 + -8v = 54 + 8v + -8v Combine like terms: 8v + -8v = 0 -20 + -8v = 54 + 0 -20 + -8v = 54 Add '20' to each side of the equation. -20 + 20 + -8v = 54 + 20 Combine like terms: -20 + 20 = 0 0 + -8v = 54 + 20 -8v = 54 + 20 Combine like terms: 54 + 20 = 74 -8v = 74 Divide each side by '-8'. v = -9.25 Simplifying v = -9.25
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