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Simplifying 49 = 14 + 7(v + -1) Reorder the terms: 49 = 14 + 7(-1 + v) 49 = 14 + (-1 * 7 + v * 7) 49 = 14 + (-7 + 7v) Combine like terms: 14 + -7 = 7 49 = 7 + 7v Solving 49 = 7 + 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. 49 + -7v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 49 + -7v = 7 + 0 49 + -7v = 7 Add '-49' to each side of the equation. 49 + -49 + -7v = 7 + -49 Combine like terms: 49 + -49 = 0 0 + -7v = 7 + -49 -7v = 7 + -49 Combine like terms: 7 + -49 = -42 -7v = -42 Divide each side by '-7'. v = 6 Simplifying v = 6
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