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Simplifying 4v + -1(6v + 8) = 8v + -38 Reorder the terms: 4v + -1(8 + 6v) = 8v + -38 4v + (8 * -1 + 6v * -1) = 8v + -38 4v + (-8 + -6v) = 8v + -38 Reorder the terms: -8 + 4v + -6v = 8v + -38 Combine like terms: 4v + -6v = -2v -8 + -2v = 8v + -38 Reorder the terms: -8 + -2v = -38 + 8v Solving -8 + -2v = -38 + 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. -8 + -2v + -8v = -38 + 8v + -8v Combine like terms: -2v + -8v = -10v -8 + -10v = -38 + 8v + -8v Combine like terms: 8v + -8v = 0 -8 + -10v = -38 + 0 -8 + -10v = -38 Add '8' to each side of the equation. -8 + 8 + -10v = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -10v = -38 + 8 -10v = -38 + 8 Combine like terms: -38 + 8 = -30 -10v = -30 Divide each side by '-10'. v = 3 Simplifying v = 3
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