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Simplifying 10(v + 4) + -2v = (4v + 1) + -3 Reorder the terms: 10(4 + v) + -2v = (4v + 1) + -3 (4 * 10 + v * 10) + -2v = (4v + 1) + -3 (40 + 10v) + -2v = (4v + 1) + -3 Combine like terms: 10v + -2v = 8v 40 + 8v = (4v + 1) + -3 Reorder the terms: 40 + 8v = (1 + 4v) + -3 Remove parenthesis around (1 + 4v) 40 + 8v = 1 + 4v + -3 Reorder the terms: 40 + 8v = 1 + -3 + 4v Combine like terms: 1 + -3 = -2 40 + 8v = -2 + 4v Solving 40 + 8v = -2 + 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. 40 + 8v + -4v = -2 + 4v + -4v Combine like terms: 8v + -4v = 4v 40 + 4v = -2 + 4v + -4v Combine like terms: 4v + -4v = 0 40 + 4v = -2 + 0 40 + 4v = -2 Add '-40' to each side of the equation. 40 + -40 + 4v = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 4v = -2 + -40 4v = -2 + -40 Combine like terms: -2 + -40 = -42 4v = -42 Divide each side by '4'. v = -10.5 Simplifying v = -10.5
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