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Simplifying -4(1 + -7v) + 6(v + 8) = -58 (1 * -4 + -7v * -4) + 6(v + 8) = -58 (-4 + 28v) + 6(v + 8) = -58 Reorder the terms: -4 + 28v + 6(8 + v) = -58 -4 + 28v + (8 * 6 + v * 6) = -58 -4 + 28v + (48 + 6v) = -58 Reorder the terms: -4 + 48 + 28v + 6v = -58 Combine like terms: -4 + 48 = 44 44 + 28v + 6v = -58 Combine like terms: 28v + 6v = 34v 44 + 34v = -58 Solving 44 + 34v = -58 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 34v = -58 + -44 Combine like terms: 44 + -44 = 0 0 + 34v = -58 + -44 34v = -58 + -44 Combine like terms: -58 + -44 = -102 34v = -102 Divide each side by '34'. v = -3 Simplifying v = -3
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