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Simplifying -34 + 4v = 6(7v + 7) Reorder the terms: -34 + 4v = 6(7 + 7v) -34 + 4v = (7 * 6 + 7v * 6) -34 + 4v = (42 + 42v) Solving -34 + 4v = 42 + 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. -34 + 4v + -42v = 42 + 42v + -42v Combine like terms: 4v + -42v = -38v -34 + -38v = 42 + 42v + -42v Combine like terms: 42v + -42v = 0 -34 + -38v = 42 + 0 -34 + -38v = 42 Add '34' to each side of the equation. -34 + 34 + -38v = 42 + 34 Combine like terms: -34 + 34 = 0 0 + -38v = 42 + 34 -38v = 42 + 34 Combine like terms: 42 + 34 = 76 -38v = 76 Divide each side by '-38'. v = -2 Simplifying v = -2
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