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Simplifying -38 + 7v = -4(7v + -8) Reorder the terms: -38 + 7v = -4(-8 + 7v) -38 + 7v = (-8 * -4 + 7v * -4) -38 + 7v = (32 + -28v) Solving -38 + 7v = 32 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -38 + 7v + 28v = 32 + -28v + 28v Combine like terms: 7v + 28v = 35v -38 + 35v = 32 + -28v + 28v Combine like terms: -28v + 28v = 0 -38 + 35v = 32 + 0 -38 + 35v = 32 Add '38' to each side of the equation. -38 + 38 + 35v = 32 + 38 Combine like terms: -38 + 38 = 0 0 + 35v = 32 + 38 35v = 32 + 38 Combine like terms: 32 + 38 = 70 35v = 70 Divide each side by '35'. v = 2 Simplifying v = 2
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