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Simplifying -7(v + 2) = -3 + 8(8 + -4v) Reorder the terms: -7(2 + v) = -3 + 8(8 + -4v) (2 * -7 + v * -7) = -3 + 8(8 + -4v) (-14 + -7v) = -3 + 8(8 + -4v) -14 + -7v = -3 + (8 * 8 + -4v * 8) -14 + -7v = -3 + (64 + -32v) Combine like terms: -3 + 64 = 61 -14 + -7v = 61 + -32v Solving -14 + -7v = 61 + -32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32v' to each side of the equation. -14 + -7v + 32v = 61 + -32v + 32v Combine like terms: -7v + 32v = 25v -14 + 25v = 61 + -32v + 32v Combine like terms: -32v + 32v = 0 -14 + 25v = 61 + 0 -14 + 25v = 61 Add '14' to each side of the equation. -14 + 14 + 25v = 61 + 14 Combine like terms: -14 + 14 = 0 0 + 25v = 61 + 14 25v = 61 + 14 Combine like terms: 61 + 14 = 75 25v = 75 Divide each side by '25'. v = 3 Simplifying v = 3
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