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Simplifying 2v + 18 = 16 + -4(v + 7) * 5 Reorder the terms: 18 + 2v = 16 + -4(v + 7) * 5 Reorder the terms: 18 + 2v = 16 + -4(7 + v) * 5 Reorder the terms for easier multiplication: 18 + 2v = 16 + -4 * 5(7 + v) Multiply -4 * 5 18 + 2v = 16 + -20(7 + v) 18 + 2v = 16 + (7 * -20 + v * -20) 18 + 2v = 16 + (-140 + -20v) Combine like terms: 16 + -140 = -124 18 + 2v = -124 + -20v Solving 18 + 2v = -124 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 18 + 2v + 20v = -124 + -20v + 20v Combine like terms: 2v + 20v = 22v 18 + 22v = -124 + -20v + 20v Combine like terms: -20v + 20v = 0 18 + 22v = -124 + 0 18 + 22v = -124 Add '-18' to each side of the equation. 18 + -18 + 22v = -124 + -18 Combine like terms: 18 + -18 = 0 0 + 22v = -124 + -18 22v = -124 + -18 Combine like terms: -124 + -18 = -142 22v = -142 Divide each side by '22'. v = -6.454545455 Simplifying v = -6.454545455
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