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Simplifying 10v + 11 = -5(2v + 3) + -1 Reorder the terms: 11 + 10v = -5(2v + 3) + -1 Reorder the terms: 11 + 10v = -5(3 + 2v) + -1 11 + 10v = (3 * -5 + 2v * -5) + -1 11 + 10v = (-15 + -10v) + -1 Reorder the terms: 11 + 10v = -15 + -1 + -10v Combine like terms: -15 + -1 = -16 11 + 10v = -16 + -10v Solving 11 + 10v = -16 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 11 + 10v + 10v = -16 + -10v + 10v Combine like terms: 10v + 10v = 20v 11 + 20v = -16 + -10v + 10v Combine like terms: -10v + 10v = 0 11 + 20v = -16 + 0 11 + 20v = -16 Add '-11' to each side of the equation. 11 + -11 + 20v = -16 + -11 Combine like terms: 11 + -11 = 0 0 + 20v = -16 + -11 20v = -16 + -11 Combine like terms: -16 + -11 = -27 20v = -27 Divide each side by '20'. v = -1.35 Simplifying v = -1.35
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