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Simplifying 8 + 3v = -6(-1v + 8) + 4v Reorder the terms: 8 + 3v = -6(8 + -1v) + 4v 8 + 3v = (8 * -6 + -1v * -6) + 4v 8 + 3v = (-48 + 6v) + 4v Combine like terms: 6v + 4v = 10v 8 + 3v = -48 + 10v Solving 8 + 3v = -48 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 8 + 3v + -10v = -48 + 10v + -10v Combine like terms: 3v + -10v = -7v 8 + -7v = -48 + 10v + -10v Combine like terms: 10v + -10v = 0 8 + -7v = -48 + 0 8 + -7v = -48 Add '-8' to each side of the equation. 8 + -8 + -7v = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -7v = -48 + -8 -7v = -48 + -8 Combine like terms: -48 + -8 = -56 -7v = -56 Divide each side by '-7'. v = 8 Simplifying v = 8
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