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Simplifying 2v + 8(v + -4) = 3v + -7(v + -14) Reorder the terms: 2v + 8(-4 + v) = 3v + -7(v + -14) 2v + (-4 * 8 + v * 8) = 3v + -7(v + -14) 2v + (-32 + 8v) = 3v + -7(v + -14) Reorder the terms: -32 + 2v + 8v = 3v + -7(v + -14) Combine like terms: 2v + 8v = 10v -32 + 10v = 3v + -7(v + -14) Reorder the terms: -32 + 10v = 3v + -7(-14 + v) -32 + 10v = 3v + (-14 * -7 + v * -7) -32 + 10v = 3v + (98 + -7v) Reorder the terms: -32 + 10v = 98 + 3v + -7v Combine like terms: 3v + -7v = -4v -32 + 10v = 98 + -4v Solving -32 + 10v = 98 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -32 + 10v + 4v = 98 + -4v + 4v Combine like terms: 10v + 4v = 14v -32 + 14v = 98 + -4v + 4v Combine like terms: -4v + 4v = 0 -32 + 14v = 98 + 0 -32 + 14v = 98 Add '32' to each side of the equation. -32 + 32 + 14v = 98 + 32 Combine like terms: -32 + 32 = 0 0 + 14v = 98 + 32 14v = 98 + 32 Combine like terms: 98 + 32 = 130 14v = 130 Divide each side by '14'. v = 9.285714286 Simplifying v = 9.285714286
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