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Simplifying 36 + -4v = 4(7v + -7) Reorder the terms: 36 + -4v = 4(-7 + 7v) 36 + -4v = (-7 * 4 + 7v * 4) 36 + -4v = (-28 + 28v) Solving 36 + -4v = -28 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. 36 + -4v + -28v = -28 + 28v + -28v Combine like terms: -4v + -28v = -32v 36 + -32v = -28 + 28v + -28v Combine like terms: 28v + -28v = 0 36 + -32v = -28 + 0 36 + -32v = -28 Add '-36' to each side of the equation. 36 + -36 + -32v = -28 + -36 Combine like terms: 36 + -36 = 0 0 + -32v = -28 + -36 -32v = -28 + -36 Combine like terms: -28 + -36 = -64 -32v = -64 Divide each side by '-32'. v = 2 Simplifying v = 2
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