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Simplifying -6v + 34 = 7(v + 3) Reorder the terms: 34 + -6v = 7(v + 3) Reorder the terms: 34 + -6v = 7(3 + v) 34 + -6v = (3 * 7 + v * 7) 34 + -6v = (21 + 7v) Solving 34 + -6v = 21 + 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. 34 + -6v + -7v = 21 + 7v + -7v Combine like terms: -6v + -7v = -13v 34 + -13v = 21 + 7v + -7v Combine like terms: 7v + -7v = 0 34 + -13v = 21 + 0 34 + -13v = 21 Add '-34' to each side of the equation. 34 + -34 + -13v = 21 + -34 Combine like terms: 34 + -34 = 0 0 + -13v = 21 + -34 -13v = 21 + -34 Combine like terms: 21 + -34 = -13 -13v = -13 Divide each side by '-13'. v = 1 Simplifying v = 1
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