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Simplifying -62 = -7(1 + 3v) + 8(4 + -1v) -62 = (1 * -7 + 3v * -7) + 8(4 + -1v) -62 = (-7 + -21v) + 8(4 + -1v) -62 = -7 + -21v + (4 * 8 + -1v * 8) -62 = -7 + -21v + (32 + -8v) Reorder the terms: -62 = -7 + 32 + -21v + -8v Combine like terms: -7 + 32 = 25 -62 = 25 + -21v + -8v Combine like terms: -21v + -8v = -29v -62 = 25 + -29v Solving -62 = 25 + -29v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '29v' to each side of the equation. -62 + 29v = 25 + -29v + 29v Combine like terms: -29v + 29v = 0 -62 + 29v = 25 + 0 -62 + 29v = 25 Add '62' to each side of the equation. -62 + 62 + 29v = 25 + 62 Combine like terms: -62 + 62 = 0 0 + 29v = 25 + 62 29v = 25 + 62 Combine like terms: 25 + 62 = 87 29v = 87 Divide each side by '29'. v = 3 Simplifying v = 3
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