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Simplifying -7v + -1(v + 8) = 7v + -8 Reorder the terms: -7v + -1(8 + v) = 7v + -8 -7v + (8 * -1 + v * -1) = 7v + -8 -7v + (-8 + -1v) = 7v + -8 Reorder the terms: -8 + -7v + -1v = 7v + -8 Combine like terms: -7v + -1v = -8v -8 + -8v = 7v + -8 Reorder the terms: -8 + -8v = -8 + 7v Add '8' to each side of the equation. -8 + 8 + -8v = -8 + 8 + 7v Combine like terms: -8 + 8 = 0 0 + -8v = -8 + 8 + 7v -8v = -8 + 8 + 7v Combine like terms: -8 + 8 = 0 -8v = 0 + 7v -8v = 7v Solving -8v = 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. -8v + -7v = 7v + -7v Combine like terms: -8v + -7v = -15v -15v = 7v + -7v Combine like terms: 7v + -7v = 0 -15v = 0 Divide each side by '-15'. v = 0 Simplifying v = 0
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