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Simplifying 11 + -3(7v + 10) + (6v + -13) = 4v + -3(2v + 2) Reorder the terms: 11 + -3(10 + 7v) + (6v + -13) = 4v + -3(2v + 2) 11 + (10 * -3 + 7v * -3) + (6v + -13) = 4v + -3(2v + 2) 11 + (-30 + -21v) + (6v + -13) = 4v + -3(2v + 2) Reorder the terms: 11 + -30 + -21v + (-13 + 6v) = 4v + -3(2v + 2) Remove parenthesis around (-13 + 6v) 11 + -30 + -21v + -13 + 6v = 4v + -3(2v + 2) Reorder the terms: 11 + -30 + -13 + -21v + 6v = 4v + -3(2v + 2) Combine like terms: 11 + -30 = -19 -19 + -13 + -21v + 6v = 4v + -3(2v + 2) Combine like terms: -19 + -13 = -32 -32 + -21v + 6v = 4v + -3(2v + 2) Combine like terms: -21v + 6v = -15v -32 + -15v = 4v + -3(2v + 2) Reorder the terms: -32 + -15v = 4v + -3(2 + 2v) -32 + -15v = 4v + (2 * -3 + 2v * -3) -32 + -15v = 4v + (-6 + -6v) Reorder the terms: -32 + -15v = -6 + 4v + -6v Combine like terms: 4v + -6v = -2v -32 + -15v = -6 + -2v Solving -32 + -15v = -6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -32 + -15v + 2v = -6 + -2v + 2v Combine like terms: -15v + 2v = -13v -32 + -13v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 -32 + -13v = -6 + 0 -32 + -13v = -6 Add '32' to each side of the equation. -32 + 32 + -13v = -6 + 32 Combine like terms: -32 + 32 = 0 0 + -13v = -6 + 32 -13v = -6 + 32 Combine like terms: -6 + 32 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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