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Simplifying 52 = -2(8 + 3v) + -8(3v + -1) 52 = (8 * -2 + 3v * -2) + -8(3v + -1) 52 = (-16 + -6v) + -8(3v + -1) Reorder the terms: 52 = -16 + -6v + -8(-1 + 3v) 52 = -16 + -6v + (-1 * -8 + 3v * -8) 52 = -16 + -6v + (8 + -24v) Reorder the terms: 52 = -16 + 8 + -6v + -24v Combine like terms: -16 + 8 = -8 52 = -8 + -6v + -24v Combine like terms: -6v + -24v = -30v 52 = -8 + -30v Solving 52 = -8 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. 52 + 30v = -8 + -30v + 30v Combine like terms: -30v + 30v = 0 52 + 30v = -8 + 0 52 + 30v = -8 Add '-52' to each side of the equation. 52 + -52 + 30v = -8 + -52 Combine like terms: 52 + -52 = 0 0 + 30v = -8 + -52 30v = -8 + -52 Combine like terms: -8 + -52 = -60 30v = -60 Divide each side by '30'. v = -2 Simplifying v = -2
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