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Simplifying 5(2 + 1) + -1v = 10 + 4(v + 1) Combine like terms: 2 + 1 = 3 5(3) + -1v = 10 + 4(v + 1) Multiply 5 * 3 15 + -1v = 10 + 4(v + 1) Reorder the terms: 15 + -1v = 10 + 4(1 + v) 15 + -1v = 10 + (1 * 4 + v * 4) 15 + -1v = 10 + (4 + 4v) Combine like terms: 10 + 4 = 14 15 + -1v = 14 + 4v Solving 15 + -1v = 14 + 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. 15 + -1v + -4v = 14 + 4v + -4v Combine like terms: -1v + -4v = -5v 15 + -5v = 14 + 4v + -4v Combine like terms: 4v + -4v = 0 15 + -5v = 14 + 0 15 + -5v = 14 Add '-15' to each side of the equation. 15 + -15 + -5v = 14 + -15 Combine like terms: 15 + -15 = 0 0 + -5v = 14 + -15 -5v = 14 + -15 Combine like terms: 14 + -15 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2
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