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Simplifying 5(v + -7) + -3 = -5(-3v + 4) + -2v Reorder the terms: 5(-7 + v) + -3 = -5(-3v + 4) + -2v (-7 * 5 + v * 5) + -3 = -5(-3v + 4) + -2v (-35 + 5v) + -3 = -5(-3v + 4) + -2v Reorder the terms: -35 + -3 + 5v = -5(-3v + 4) + -2v Combine like terms: -35 + -3 = -38 -38 + 5v = -5(-3v + 4) + -2v Reorder the terms: -38 + 5v = -5(4 + -3v) + -2v -38 + 5v = (4 * -5 + -3v * -5) + -2v -38 + 5v = (-20 + 15v) + -2v Combine like terms: 15v + -2v = 13v -38 + 5v = -20 + 13v Solving -38 + 5v = -20 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -38 + 5v + -13v = -20 + 13v + -13v Combine like terms: 5v + -13v = -8v -38 + -8v = -20 + 13v + -13v Combine like terms: 13v + -13v = 0 -38 + -8v = -20 + 0 -38 + -8v = -20 Add '38' to each side of the equation. -38 + 38 + -8v = -20 + 38 Combine like terms: -38 + 38 = 0 0 + -8v = -20 + 38 -8v = -20 + 38 Combine like terms: -20 + 38 = 18 -8v = 18 Divide each side by '-8'. v = -2.25 Simplifying v = -2.25
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