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Simplifying 3v + -8 = 7(v + -4) Reorder the terms: -8 + 3v = 7(v + -4) Reorder the terms: -8 + 3v = 7(-4 + v) -8 + 3v = (-4 * 7 + v * 7) -8 + 3v = (-28 + 7v) Solving -8 + 3v = -28 + 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. -8 + 3v + -7v = -28 + 7v + -7v Combine like terms: 3v + -7v = -4v -8 + -4v = -28 + 7v + -7v Combine like terms: 7v + -7v = 0 -8 + -4v = -28 + 0 -8 + -4v = -28 Add '8' to each side of the equation. -8 + 8 + -4v = -28 + 8 Combine like terms: -8 + 8 = 0 0 + -4v = -28 + 8 -4v = -28 + 8 Combine like terms: -28 + 8 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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