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Simplifying 4v + 4(v + -3) = 7v + -5 Reorder the terms: 4v + 4(-3 + v) = 7v + -5 4v + (-3 * 4 + v * 4) = 7v + -5 4v + (-12 + 4v) = 7v + -5 Reorder the terms: -12 + 4v + 4v = 7v + -5 Combine like terms: 4v + 4v = 8v -12 + 8v = 7v + -5 Reorder the terms: -12 + 8v = -5 + 7v Solving -12 + 8v = -5 + 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. -12 + 8v + -7v = -5 + 7v + -7v Combine like terms: 8v + -7v = 1v -12 + 1v = -5 + 7v + -7v Combine like terms: 7v + -7v = 0 -12 + 1v = -5 + 0 -12 + 1v = -5 Add '12' to each side of the equation. -12 + 12 + 1v = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 1v = -5 + 12 1v = -5 + 12 Combine like terms: -5 + 12 = 7 1v = 7 Divide each side by '1'. v = 7 Simplifying v = 7
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