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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 Reorder the terms for easier multiplication: -10 + 10v = 2 * 11(3 + 3v) Multiply 2 * 11 -10 + 10v = 22(3 + 3v) -10 + 10v = (3 * 22 + 3v * 22) -10 + 10v = (66 + 66v) Solving -10 + 10v = 66 + 66v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-66v' to each side of the equation. -10 + 10v + -66v = 66 + 66v + -66v Combine like terms: 10v + -66v = -56v -10 + -56v = 66 + 66v + -66v Combine like terms: 66v + -66v = 0 -10 + -56v = 66 + 0 -10 + -56v = 66 Add '10' to each side of the equation. -10 + 10 + -56v = 66 + 10 Combine like terms: -10 + 10 = 0 0 + -56v = 66 + 10 -56v = 66 + 10 Combine like terms: 66 + 10 = 76 -56v = 76 Divide each side by '-56'. v = -1.357142857 Simplifying v = -1.357142857
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