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Simplifying -25 + -3v = 7(1 + 5v) + 6 -25 + -3v = (1 * 7 + 5v * 7) + 6 -25 + -3v = (7 + 35v) + 6 Reorder the terms: -25 + -3v = 7 + 6 + 35v Combine like terms: 7 + 6 = 13 -25 + -3v = 13 + 35v Solving -25 + -3v = 13 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. -25 + -3v + -35v = 13 + 35v + -35v Combine like terms: -3v + -35v = -38v -25 + -38v = 13 + 35v + -35v Combine like terms: 35v + -35v = 0 -25 + -38v = 13 + 0 -25 + -38v = 13 Add '25' to each side of the equation. -25 + 25 + -38v = 13 + 25 Combine like terms: -25 + 25 = 0 0 + -38v = 13 + 25 -38v = 13 + 25 Combine like terms: 13 + 25 = 38 -38v = 38 Divide each side by '-38'. v = -1 Simplifying v = -1
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