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Simplifying 7v + -45 = -4(v + 3) Reorder the terms: -45 + 7v = -4(v + 3) Reorder the terms: -45 + 7v = -4(3 + v) -45 + 7v = (3 * -4 + v * -4) -45 + 7v = (-12 + -4v) Solving -45 + 7v = -12 + -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. -45 + 7v + 4v = -12 + -4v + 4v Combine like terms: 7v + 4v = 11v -45 + 11v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 -45 + 11v = -12 + 0 -45 + 11v = -12 Add '45' to each side of the equation. -45 + 45 + 11v = -12 + 45 Combine like terms: -45 + 45 = 0 0 + 11v = -12 + 45 11v = -12 + 45 Combine like terms: -12 + 45 = 33 11v = 33 Divide each side by '11'. v = 3 Simplifying v = 3
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