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Simplifying 5v + 2 = 8(v + 1) Reorder the terms: 2 + 5v = 8(v + 1) Reorder the terms: 2 + 5v = 8(1 + v) 2 + 5v = (1 * 8 + v * 8) 2 + 5v = (8 + 8v) Solving 2 + 5v = 8 + 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. 2 + 5v + -8v = 8 + 8v + -8v Combine like terms: 5v + -8v = -3v 2 + -3v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 2 + -3v = 8 + 0 2 + -3v = 8 Add '-2' to each side of the equation. 2 + -2 + -3v = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 8 + -2 -3v = 8 + -2 Combine like terms: 8 + -2 = 6 -3v = 6 Divide each side by '-3'. v = -2 Simplifying v = -2
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