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Simplifying -25 + 5v = 7(6v + 7) Reorder the terms: -25 + 5v = 7(7 + 6v) -25 + 5v = (7 * 7 + 6v * 7) -25 + 5v = (49 + 42v) Solving -25 + 5v = 49 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. -25 + 5v + -42v = 49 + 42v + -42v Combine like terms: 5v + -42v = -37v -25 + -37v = 49 + 42v + -42v Combine like terms: 42v + -42v = 0 -25 + -37v = 49 + 0 -25 + -37v = 49 Add '25' to each side of the equation. -25 + 25 + -37v = 49 + 25 Combine like terms: -25 + 25 = 0 0 + -37v = 49 + 25 -37v = 49 + 25 Combine like terms: 49 + 25 = 74 -37v = 74 Divide each side by '-37'. v = -2 Simplifying v = -2
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