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Simplifying -2v + 18 = 8(v + 1) Reorder the terms: 18 + -2v = 8(v + 1) Reorder the terms: 18 + -2v = 8(1 + v) 18 + -2v = (1 * 8 + v * 8) 18 + -2v = (8 + 8v) Solving 18 + -2v = 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. 18 + -2v + -8v = 8 + 8v + -8v Combine like terms: -2v + -8v = -10v 18 + -10v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 18 + -10v = 8 + 0 18 + -10v = 8 Add '-18' to each side of the equation. 18 + -18 + -10v = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -10v = 8 + -18 -10v = 8 + -18 Combine like terms: 8 + -18 = -10 -10v = -10 Divide each side by '-10'. v = 1 Simplifying v = 1
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