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Simplifying 6(v + -5) = -25 + 7v Reorder the terms: 6(-5 + v) = -25 + 7v (-5 * 6 + v * 6) = -25 + 7v (-30 + 6v) = -25 + 7v Solving -30 + 6v = -25 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -30 + 6v + -7v = -25 + 7v + -7v Combine like terms: 6v + -7v = -1v -30 + -1v = -25 + 7v + -7v Combine like terms: 7v + -7v = 0 -30 + -1v = -25 + 0 -30 + -1v = -25 Add '30' to each side of the equation. -30 + 30 + -1v = -25 + 30 Combine like terms: -30 + 30 = 0 0 + -1v = -25 + 30 -1v = -25 + 30 Combine like terms: -25 + 30 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5
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