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Simplifying -5(v + 4) + 2v + 5 = 7v + 6 Reorder the terms: -5(4 + v) + 2v + 5 = 7v + 6 (4 * -5 + v * -5) + 2v + 5 = 7v + 6 (-20 + -5v) + 2v + 5 = 7v + 6 Reorder the terms: -20 + 5 + -5v + 2v = 7v + 6 Combine like terms: -20 + 5 = -15 -15 + -5v + 2v = 7v + 6 Combine like terms: -5v + 2v = -3v -15 + -3v = 7v + 6 Reorder the terms: -15 + -3v = 6 + 7v Solving -15 + -3v = 6 + 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. -15 + -3v + -7v = 6 + 7v + -7v Combine like terms: -3v + -7v = -10v -15 + -10v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + -10v = 6 + 0 -15 + -10v = 6 Add '15' to each side of the equation. -15 + 15 + -10v = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -10v = 6 + 15 -10v = 6 + 15 Combine like terms: 6 + 15 = 21 -10v = 21 Divide each side by '-10'. v = -2.1 Simplifying v = -2.1
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