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Simplifying -7(6v + 3) = 18 + -3(16 + -3v) Reorder the terms: -7(3 + 6v) = 18 + -3(16 + -3v) (3 * -7 + 6v * -7) = 18 + -3(16 + -3v) (-21 + -42v) = 18 + -3(16 + -3v) -21 + -42v = 18 + (16 * -3 + -3v * -3) -21 + -42v = 18 + (-48 + 9v) Combine like terms: 18 + -48 = -30 -21 + -42v = -30 + 9v Solving -21 + -42v = -30 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -21 + -42v + -9v = -30 + 9v + -9v Combine like terms: -42v + -9v = -51v -21 + -51v = -30 + 9v + -9v Combine like terms: 9v + -9v = 0 -21 + -51v = -30 + 0 -21 + -51v = -30 Add '21' to each side of the equation. -21 + 21 + -51v = -30 + 21 Combine like terms: -21 + 21 = 0 0 + -51v = -30 + 21 -51v = -30 + 21 Combine like terms: -30 + 21 = -9 -51v = -9 Divide each side by '-51'. v = 0.1764705882 Simplifying v = 0.1764705882
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