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Simplifying 36 + -7v = v + -6(8 + 6v) 36 + -7v = v + (8 * -6 + 6v * -6) 36 + -7v = v + (-48 + -36v) Reorder the terms: 36 + -7v = -48 + v + -36v Combine like terms: v + -36v = -35v 36 + -7v = -48 + -35v Solving 36 + -7v = -48 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. 36 + -7v + 35v = -48 + -35v + 35v Combine like terms: -7v + 35v = 28v 36 + 28v = -48 + -35v + 35v Combine like terms: -35v + 35v = 0 36 + 28v = -48 + 0 36 + 28v = -48 Add '-36' to each side of the equation. 36 + -36 + 28v = -48 + -36 Combine like terms: 36 + -36 = 0 0 + 28v = -48 + -36 28v = -48 + -36 Combine like terms: -48 + -36 = -84 28v = -84 Divide each side by '28'. v = -3 Simplifying v = -3
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