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Simplifying 3v + 7(v + 5) = -5(1 + -2v) Reorder the terms: 3v + 7(5 + v) = -5(1 + -2v) 3v + (5 * 7 + v * 7) = -5(1 + -2v) 3v + (35 + 7v) = -5(1 + -2v) Reorder the terms: 35 + 3v + 7v = -5(1 + -2v) Combine like terms: 3v + 7v = 10v 35 + 10v = -5(1 + -2v) 35 + 10v = (1 * -5 + -2v * -5) 35 + 10v = (-5 + 10v) Add '-10v' to each side of the equation. 35 + 10v + -10v = -5 + 10v + -10v Combine like terms: 10v + -10v = 0 35 + 0 = -5 + 10v + -10v 35 = -5 + 10v + -10v Combine like terms: 10v + -10v = 0 35 = -5 + 0 35 = -5 Solving 35 = -5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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