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Simplifying -45 + 8v = -3(1 + 10v) + -4v -45 + 8v = (1 * -3 + 10v * -3) + -4v -45 + 8v = (-3 + -30v) + -4v Combine like terms: -30v + -4v = -34v -45 + 8v = -3 + -34v Solving -45 + 8v = -3 + -34v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '34v' to each side of the equation. -45 + 8v + 34v = -3 + -34v + 34v Combine like terms: 8v + 34v = 42v -45 + 42v = -3 + -34v + 34v Combine like terms: -34v + 34v = 0 -45 + 42v = -3 + 0 -45 + 42v = -3 Add '45' to each side of the equation. -45 + 45 + 42v = -3 + 45 Combine like terms: -45 + 45 = 0 0 + 42v = -3 + 45 42v = -3 + 45 Combine like terms: -3 + 45 = 42 42v = 42 Divide each side by '42'. v = 1 Simplifying v = 1
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