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Simplifying -3(v + 5) + 2 = 4(v + 2) Reorder the terms: -3(5 + v) + 2 = 4(v + 2) (5 * -3 + v * -3) + 2 = 4(v + 2) (-15 + -3v) + 2 = 4(v + 2) Reorder the terms: -15 + 2 + -3v = 4(v + 2) Combine like terms: -15 + 2 = -13 -13 + -3v = 4(v + 2) Reorder the terms: -13 + -3v = 4(2 + v) -13 + -3v = (2 * 4 + v * 4) -13 + -3v = (8 + 4v) Solving -13 + -3v = 8 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -13 + -3v + -4v = 8 + 4v + -4v Combine like terms: -3v + -4v = -7v -13 + -7v = 8 + 4v + -4v Combine like terms: 4v + -4v = 0 -13 + -7v = 8 + 0 -13 + -7v = 8 Add '13' to each side of the equation. -13 + 13 + -7v = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -7v = 8 + 13 -7v = 8 + 13 Combine like terms: 8 + 13 = 21 -7v = 21 Divide each side by '-7'. v = -3 Simplifying v = -3
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