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Simplifying -7(v + 4) + 3v + 7 = 7v + 11 Reorder the terms: -7(4 + v) + 3v + 7 = 7v + 11 (4 * -7 + v * -7) + 3v + 7 = 7v + 11 (-28 + -7v) + 3v + 7 = 7v + 11 Reorder the terms: -28 + 7 + -7v + 3v = 7v + 11 Combine like terms: -28 + 7 = -21 -21 + -7v + 3v = 7v + 11 Combine like terms: -7v + 3v = -4v -21 + -4v = 7v + 11 Reorder the terms: -21 + -4v = 11 + 7v Solving -21 + -4v = 11 + 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. -21 + -4v + -7v = 11 + 7v + -7v Combine like terms: -4v + -7v = -11v -21 + -11v = 11 + 7v + -7v Combine like terms: 7v + -7v = 0 -21 + -11v = 11 + 0 -21 + -11v = 11 Add '21' to each side of the equation. -21 + 21 + -11v = 11 + 21 Combine like terms: -21 + 21 = 0 0 + -11v = 11 + 21 -11v = 11 + 21 Combine like terms: 11 + 21 = 32 -11v = 32 Divide each side by '-11'. v = -2.909090909 Simplifying v = -2.909090909
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