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Simplifying 5(1 + 4v) + 2 = -21 + -8v (1 * 5 + 4v * 5) + 2 = -21 + -8v (5 + 20v) + 2 = -21 + -8v Reorder the terms: 5 + 2 + 20v = -21 + -8v Combine like terms: 5 + 2 = 7 7 + 20v = -21 + -8v Solving 7 + 20v = -21 + -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. 7 + 20v + 8v = -21 + -8v + 8v Combine like terms: 20v + 8v = 28v 7 + 28v = -21 + -8v + 8v Combine like terms: -8v + 8v = 0 7 + 28v = -21 + 0 7 + 28v = -21 Add '-7' to each side of the equation. 7 + -7 + 28v = -21 + -7 Combine like terms: 7 + -7 = 0 0 + 28v = -21 + -7 28v = -21 + -7 Combine like terms: -21 + -7 = -28 28v = -28 Divide each side by '28'. v = -1 Simplifying v = -1
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