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Simplifying 10(v + 3) + -40 = 2(3v + 3) + -11 Reorder the terms: 10(3 + v) + -40 = 2(3v + 3) + -11 (3 * 10 + v * 10) + -40 = 2(3v + 3) + -11 (30 + 10v) + -40 = 2(3v + 3) + -11 Reorder the terms: 30 + -40 + 10v = 2(3v + 3) + -11 Combine like terms: 30 + -40 = -10 -10 + 10v = 2(3v + 3) + -11 Reorder the terms: -10 + 10v = 2(3 + 3v) + -11 -10 + 10v = (3 * 2 + 3v * 2) + -11 -10 + 10v = (6 + 6v) + -11 Reorder the terms: -10 + 10v = 6 + -11 + 6v Combine like terms: 6 + -11 = -5 -10 + 10v = -5 + 6v Solving -10 + 10v = -5 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -10 + 10v + -6v = -5 + 6v + -6v Combine like terms: 10v + -6v = 4v -10 + 4v = -5 + 6v + -6v Combine like terms: 6v + -6v = 0 -10 + 4v = -5 + 0 -10 + 4v = -5 Add '10' to each side of the equation. -10 + 10 + 4v = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 4v = -5 + 10 4v = -5 + 10 Combine like terms: -5 + 10 = 5 4v = 5 Divide each side by '4'. v = 1.25 Simplifying v = 1.25
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