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Simplifying 32 + 8v = 8(7v + -2) Reorder the terms: 32 + 8v = 8(-2 + 7v) 32 + 8v = (-2 * 8 + 7v * 8) 32 + 8v = (-16 + 56v) Solving 32 + 8v = -16 + 56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56v' to each side of the equation. 32 + 8v + -56v = -16 + 56v + -56v Combine like terms: 8v + -56v = -48v 32 + -48v = -16 + 56v + -56v Combine like terms: 56v + -56v = 0 32 + -48v = -16 + 0 32 + -48v = -16 Add '-32' to each side of the equation. 32 + -32 + -48v = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -48v = -16 + -32 -48v = -16 + -32 Combine like terms: -16 + -32 = -48 -48v = -48 Divide each side by '-48'. v = 1 Simplifying v = 1
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