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Simplifying -36 = 4v + 4(v + 7) Reorder the terms: -36 = 4v + 4(7 + v) -36 = 4v + (7 * 4 + v * 4) -36 = 4v + (28 + 4v) Reorder the terms: -36 = 28 + 4v + 4v Combine like terms: 4v + 4v = 8v -36 = 28 + 8v Solving -36 = 28 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -36 + -8v = 28 + 8v + -8v Combine like terms: 8v + -8v = 0 -36 + -8v = 28 + 0 -36 + -8v = 28 Add '36' to each side of the equation. -36 + 36 + -8v = 28 + 36 Combine like terms: -36 + 36 = 0 0 + -8v = 28 + 36 -8v = 28 + 36 Combine like terms: 28 + 36 = 64 -8v = 64 Divide each side by '-8'. v = -8 Simplifying v = -8
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