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Simplifying 4(4v + -2) = -9v + -3(7 + -4v) Reorder the terms: 4(-2 + 4v) = -9v + -3(7 + -4v) (-2 * 4 + 4v * 4) = -9v + -3(7 + -4v) (-8 + 16v) = -9v + -3(7 + -4v) -8 + 16v = -9v + (7 * -3 + -4v * -3) -8 + 16v = -9v + (-21 + 12v) Reorder the terms: -8 + 16v = -21 + -9v + 12v Combine like terms: -9v + 12v = 3v -8 + 16v = -21 + 3v Solving -8 + 16v = -21 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -8 + 16v + -3v = -21 + 3v + -3v Combine like terms: 16v + -3v = 13v -8 + 13v = -21 + 3v + -3v Combine like terms: 3v + -3v = 0 -8 + 13v = -21 + 0 -8 + 13v = -21 Add '8' to each side of the equation. -8 + 8 + 13v = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 13v = -21 + 8 13v = -21 + 8 Combine like terms: -21 + 8 = -13 13v = -13 Divide each side by '13'. v = -1 Simplifying v = -1
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