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Simplifying 4(1[v + 7] * 1) = 8v + 16 Reorder the terms: 4(1[7 + v] * 1) = 8v + 16 Reorder the terms for easier multiplication: 4(1 * 1[7 + v]) = 8v + 16 Multiply 1 * 1 4(1[7 + v]) = 8v + 16 4([7 * 1 + v * 1]) = 8v + 16 4([7 + 1v]) = 8v + 16 (7 * 4 + 1v * 4) = 8v + 16 (28 + 4v) = 8v + 16 Reorder the terms: 28 + 4v = 16 + 8v Solving 28 + 4v = 16 + 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. 28 + 4v + -8v = 16 + 8v + -8v Combine like terms: 4v + -8v = -4v 28 + -4v = 16 + 8v + -8v Combine like terms: 8v + -8v = 0 28 + -4v = 16 + 0 28 + -4v = 16 Add '-28' to each side of the equation. 28 + -28 + -4v = 16 + -28 Combine like terms: 28 + -28 = 0 0 + -4v = 16 + -28 -4v = 16 + -28 Combine like terms: 16 + -28 = -12 -4v = -12 Divide each side by '-4'. v = 3 Simplifying v = 3
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