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Simplifying -6 + 5(7 + -6v) = -3v + -25 -6 + (7 * 5 + -6v * 5) = -3v + -25 -6 + (35 + -30v) = -3v + -25 Combine like terms: -6 + 35 = 29 29 + -30v = -3v + -25 Reorder the terms: 29 + -30v = -25 + -3v Solving 29 + -30v = -25 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 29 + -30v + 3v = -25 + -3v + 3v Combine like terms: -30v + 3v = -27v 29 + -27v = -25 + -3v + 3v Combine like terms: -3v + 3v = 0 29 + -27v = -25 + 0 29 + -27v = -25 Add '-29' to each side of the equation. 29 + -29 + -27v = -25 + -29 Combine like terms: 29 + -29 = 0 0 + -27v = -25 + -29 -27v = -25 + -29 Combine like terms: -25 + -29 = -54 -27v = -54 Divide each side by '-27'. v = 2 Simplifying v = 2
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