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Simplifying -7(-5v + 9) + -7(v + -8) = v + -5 + v + -2 Reorder the terms: -7(9 + -5v) + -7(v + -8) = v + -5 + v + -2 (9 * -7 + -5v * -7) + -7(v + -8) = v + -5 + v + -2 (-63 + 35v) + -7(v + -8) = v + -5 + v + -2 Reorder the terms: -63 + 35v + -7(-8 + v) = v + -5 + v + -2 -63 + 35v + (-8 * -7 + v * -7) = v + -5 + v + -2 -63 + 35v + (56 + -7v) = v + -5 + v + -2 Reorder the terms: -63 + 56 + 35v + -7v = v + -5 + v + -2 Combine like terms: -63 + 56 = -7 -7 + 35v + -7v = v + -5 + v + -2 Combine like terms: 35v + -7v = 28v -7 + 28v = v + -5 + v + -2 Reorder the terms: -7 + 28v = -5 + -2 + v + v Combine like terms: -5 + -2 = -7 -7 + 28v = -7 + v + v Combine like terms: v + v = 2v -7 + 28v = -7 + 2v Add '7' to each side of the equation. -7 + 7 + 28v = -7 + 7 + 2v Combine like terms: -7 + 7 = 0 0 + 28v = -7 + 7 + 2v 28v = -7 + 7 + 2v Combine like terms: -7 + 7 = 0 28v = 0 + 2v 28v = 2v Solving 28v = 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 28v + -2v = 2v + -2v Combine like terms: 28v + -2v = 26v 26v = 2v + -2v Combine like terms: 2v + -2v = 0 26v = 0 Divide each side by '26'. v = 0 Simplifying v = 0
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