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Simplifying -4(4 + 7v) + 4 = -7v + 9 (4 * -4 + 7v * -4) + 4 = -7v + 9 (-16 + -28v) + 4 = -7v + 9 Reorder the terms: -16 + 4 + -28v = -7v + 9 Combine like terms: -16 + 4 = -12 -12 + -28v = -7v + 9 Reorder the terms: -12 + -28v = 9 + -7v Solving -12 + -28v = 9 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -12 + -28v + 7v = 9 + -7v + 7v Combine like terms: -28v + 7v = -21v -12 + -21v = 9 + -7v + 7v Combine like terms: -7v + 7v = 0 -12 + -21v = 9 + 0 -12 + -21v = 9 Add '12' to each side of the equation. -12 + 12 + -21v = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -21v = 9 + 12 -21v = 9 + 12 Combine like terms: 9 + 12 = 21 -21v = 21 Divide each side by '-21'. v = -1 Simplifying v = -1
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