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Simplifying 8(v + 2) + -4v + 7 = 8v + 7 Reorder the terms: 8(2 + v) + -4v + 7 = 8v + 7 (2 * 8 + v * 8) + -4v + 7 = 8v + 7 (16 + 8v) + -4v + 7 = 8v + 7 Reorder the terms: 16 + 7 + 8v + -4v = 8v + 7 Combine like terms: 16 + 7 = 23 23 + 8v + -4v = 8v + 7 Combine like terms: 8v + -4v = 4v 23 + 4v = 8v + 7 Reorder the terms: 23 + 4v = 7 + 8v Solving 23 + 4v = 7 + 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. 23 + 4v + -8v = 7 + 8v + -8v Combine like terms: 4v + -8v = -4v 23 + -4v = 7 + 8v + -8v Combine like terms: 8v + -8v = 0 23 + -4v = 7 + 0 23 + -4v = 7 Add '-23' to each side of the equation. 23 + -23 + -4v = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -4v = 7 + -23 -4v = 7 + -23 Combine like terms: 7 + -23 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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