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Simplifying -32 = -7(v + 7) + 6(2v + 7) Reorder the terms: -32 = -7(7 + v) + 6(2v + 7) -32 = (7 * -7 + v * -7) + 6(2v + 7) -32 = (-49 + -7v) + 6(2v + 7) Reorder the terms: -32 = -49 + -7v + 6(7 + 2v) -32 = -49 + -7v + (7 * 6 + 2v * 6) -32 = -49 + -7v + (42 + 12v) Reorder the terms: -32 = -49 + 42 + -7v + 12v Combine like terms: -49 + 42 = -7 -32 = -7 + -7v + 12v Combine like terms: -7v + 12v = 5v -32 = -7 + 5v Solving -32 = -7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -32 + -5v = -7 + 5v + -5v Combine like terms: 5v + -5v = 0 -32 + -5v = -7 + 0 -32 + -5v = -7 Add '32' to each side of the equation. -32 + 32 + -5v = -7 + 32 Combine like terms: -32 + 32 = 0 0 + -5v = -7 + 32 -5v = -7 + 32 Combine like terms: -7 + 32 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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