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Simplifying 8(-12v + 2) + -10v = 9(v + -11) Reorder the terms: 8(2 + -12v) + -10v = 9(v + -11) (2 * 8 + -12v * 8) + -10v = 9(v + -11) (16 + -96v) + -10v = 9(v + -11) Combine like terms: -96v + -10v = -106v 16 + -106v = 9(v + -11) Reorder the terms: 16 + -106v = 9(-11 + v) 16 + -106v = (-11 * 9 + v * 9) 16 + -106v = (-99 + 9v) Solving 16 + -106v = -99 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 16 + -106v + -9v = -99 + 9v + -9v Combine like terms: -106v + -9v = -115v 16 + -115v = -99 + 9v + -9v Combine like terms: 9v + -9v = 0 16 + -115v = -99 + 0 16 + -115v = -99 Add '-16' to each side of the equation. 16 + -16 + -115v = -99 + -16 Combine like terms: 16 + -16 = 0 0 + -115v = -99 + -16 -115v = -99 + -16 Combine like terms: -99 + -16 = -115 -115v = -115 Divide each side by '-115'. v = 1 Simplifying v = 1
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