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Simplifying 4v + 28 = -4(v + -9) Reorder the terms: 28 + 4v = -4(v + -9) Reorder the terms: 28 + 4v = -4(-9 + v) 28 + 4v = (-9 * -4 + v * -4) 28 + 4v = (36 + -4v) Solving 28 + 4v = 36 + -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. 28 + 4v + 4v = 36 + -4v + 4v Combine like terms: 4v + 4v = 8v 28 + 8v = 36 + -4v + 4v Combine like terms: -4v + 4v = 0 28 + 8v = 36 + 0 28 + 8v = 36 Add '-28' to each side of the equation. 28 + -28 + 8v = 36 + -28 Combine like terms: 28 + -28 = 0 0 + 8v = 36 + -28 8v = 36 + -28 Combine like terms: 36 + -28 = 8 8v = 8 Divide each side by '8'. v = 1 Simplifying v = 1
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