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Simplifying -7v + 4(v + 3) = 21 Reorder the terms: -7v + 4(3 + v) = 21 -7v + (3 * 4 + v * 4) = 21 -7v + (12 + 4v) = 21 Reorder the terms: 12 + -7v + 4v = 21 Combine like terms: -7v + 4v = -3v 12 + -3v = 21 Solving 12 + -3v = 21 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3v = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -3v = 21 + -12 -3v = 21 + -12 Combine like terms: 21 + -12 = 9 -3v = 9 Divide each side by '-3'. v = -3 Simplifying v = -3
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