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Simplifying 4v + 38 = -6(v + -8) Reorder the terms: 38 + 4v = -6(v + -8) Reorder the terms: 38 + 4v = -6(-8 + v) 38 + 4v = (-8 * -6 + v * -6) 38 + 4v = (48 + -6v) Solving 38 + 4v = 48 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 38 + 4v + 6v = 48 + -6v + 6v Combine like terms: 4v + 6v = 10v 38 + 10v = 48 + -6v + 6v Combine like terms: -6v + 6v = 0 38 + 10v = 48 + 0 38 + 10v = 48 Add '-38' to each side of the equation. 38 + -38 + 10v = 48 + -38 Combine like terms: 38 + -38 = 0 0 + 10v = 48 + -38 10v = 48 + -38 Combine like terms: 48 + -38 = 10 10v = 10 Divide each side by '10'. v = 1 Simplifying v = 1
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