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Simplifying 20v + -13 = -7(-4v + -19) Reorder the terms: -13 + 20v = -7(-4v + -19) Reorder the terms: -13 + 20v = -7(-19 + -4v) -13 + 20v = (-19 * -7 + -4v * -7) -13 + 20v = (133 + 28v) Solving -13 + 20v = 133 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. -13 + 20v + -28v = 133 + 28v + -28v Combine like terms: 20v + -28v = -8v -13 + -8v = 133 + 28v + -28v Combine like terms: 28v + -28v = 0 -13 + -8v = 133 + 0 -13 + -8v = 133 Add '13' to each side of the equation. -13 + 13 + -8v = 133 + 13 Combine like terms: -13 + 13 = 0 0 + -8v = 133 + 13 -8v = 133 + 13 Combine like terms: 133 + 13 = 146 -8v = 146 Divide each side by '-8'. v = -18.25 Simplifying v = -18.25
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