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Simplifying 7v + 3(2w + 4) = 2v + -4 Reorder the terms: 7v + 3(4 + 2w) = 2v + -4 7v + (4 * 3 + 2w * 3) = 2v + -4 7v + (12 + 6w) = 2v + -4 Reorder the terms: 12 + 7v + 6w = 2v + -4 Reorder the terms: 12 + 7v + 6w = -4 + 2v Solving 12 + 7v + 6w = -4 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 12 + 7v + -2v + 6w = -4 + 2v + -2v Combine like terms: 7v + -2v = 5v 12 + 5v + 6w = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + 5v + 6w = -4 + 0 12 + 5v + 6w = -4 Add '-12' to each side of the equation. 12 + 5v + -12 + 6w = -4 + -12 Reorder the terms: 12 + -12 + 5v + 6w = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 5v + 6w = -4 + -12 5v + 6w = -4 + -12 Combine like terms: -4 + -12 = -16 5v + 6w = -16 Add '-6w' to each side of the equation. 5v + 6w + -6w = -16 + -6w Combine like terms: 6w + -6w = 0 5v + 0 = -16 + -6w 5v = -16 + -6w Divide each side by '5'. v = -3.2 + -1.2w Simplifying v = -3.2 + -1.2w
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