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Simplifying 4 + -8(-6v + 6) = 8v + 36 Reorder the terms: 4 + -8(6 + -6v) = 8v + 36 4 + (6 * -8 + -6v * -8) = 8v + 36 4 + (-48 + 48v) = 8v + 36 Combine like terms: 4 + -48 = -44 -44 + 48v = 8v + 36 Reorder the terms: -44 + 48v = 36 + 8v Solving -44 + 48v = 36 + 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. -44 + 48v + -8v = 36 + 8v + -8v Combine like terms: 48v + -8v = 40v -44 + 40v = 36 + 8v + -8v Combine like terms: 8v + -8v = 0 -44 + 40v = 36 + 0 -44 + 40v = 36 Add '44' to each side of the equation. -44 + 44 + 40v = 36 + 44 Combine like terms: -44 + 44 = 0 0 + 40v = 36 + 44 40v = 36 + 44 Combine like terms: 36 + 44 = 80 40v = 80 Divide each side by '40'. v = 2 Simplifying v = 2
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