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Simplifying -7(3v + 6) = -7v + 32 Reorder the terms: -7(6 + 3v) = -7v + 32 (6 * -7 + 3v * -7) = -7v + 32 (-42 + -21v) = -7v + 32 Reorder the terms: -42 + -21v = 32 + -7v Solving -42 + -21v = 32 + -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. -42 + -21v + 7v = 32 + -7v + 7v Combine like terms: -21v + 7v = -14v -42 + -14v = 32 + -7v + 7v Combine like terms: -7v + 7v = 0 -42 + -14v = 32 + 0 -42 + -14v = 32 Add '42' to each side of the equation. -42 + 42 + -14v = 32 + 42 Combine like terms: -42 + 42 = 0 0 + -14v = 32 + 42 -14v = 32 + 42 Combine like terms: 32 + 42 = 74 -14v = 74 Divide each side by '-14'. v = -5.285714286 Simplifying v = -5.285714286
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