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Simplifying -21 = 7(v + -6) + -4v Reorder the terms: -21 = 7(-6 + v) + -4v -21 = (-6 * 7 + v * 7) + -4v -21 = (-42 + 7v) + -4v Combine like terms: 7v + -4v = 3v -21 = -42 + 3v Solving -21 = -42 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -21 + -3v = -42 + 3v + -3v Combine like terms: 3v + -3v = 0 -21 + -3v = -42 + 0 -21 + -3v = -42 Add '21' to each side of the equation. -21 + 21 + -3v = -42 + 21 Combine like terms: -21 + 21 = 0 0 + -3v = -42 + 21 -3v = -42 + 21 Combine like terms: -42 + 21 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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