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Simplifying 5v + -49 = 7(v + -5) Reorder the terms: -49 + 5v = 7(v + -5) Reorder the terms: -49 + 5v = 7(-5 + v) -49 + 5v = (-5 * 7 + v * 7) -49 + 5v = (-35 + 7v) Solving -49 + 5v = -35 + 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 + 5v + -7v = -35 + 7v + -7v Combine like terms: 5v + -7v = -2v -49 + -2v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 -49 + -2v = -35 + 0 -49 + -2v = -35 Add '49' to each side of the equation. -49 + 49 + -2v = -35 + 49 Combine like terms: -49 + 49 = 0 0 + -2v = -35 + 49 -2v = -35 + 49 Combine like terms: -35 + 49 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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