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Simplifying -23 + 3v = 8(v + 7) Reorder the terms: -23 + 3v = 8(7 + v) -23 + 3v = (7 * 8 + v * 8) -23 + 3v = (56 + 8v) Solving -23 + 3v = 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. -23 + 3v + -8v = 56 + 8v + -8v Combine like terms: 3v + -8v = -5v -23 + -5v = 56 + 8v + -8v Combine like terms: 8v + -8v = 0 -23 + -5v = 56 + 0 -23 + -5v = 56 Add '23' to each side of the equation. -23 + 23 + -5v = 56 + 23 Combine like terms: -23 + 23 = 0 0 + -5v = 56 + 23 -5v = 56 + 23 Combine like terms: 56 + 23 = 79 -5v = 79 Divide each side by '-5'. v = -15.8 Simplifying v = -15.8
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