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Simplifying -5(v + 2) = 4v + -7 + 3(2v + 5) Reorder the terms: -5(2 + v) = 4v + -7 + 3(2v + 5) (2 * -5 + v * -5) = 4v + -7 + 3(2v + 5) (-10 + -5v) = 4v + -7 + 3(2v + 5) Reorder the terms: -10 + -5v = 4v + -7 + 3(5 + 2v) -10 + -5v = 4v + -7 + (5 * 3 + 2v * 3) -10 + -5v = 4v + -7 + (15 + 6v) Reorder the terms: -10 + -5v = -7 + 15 + 4v + 6v Combine like terms: -7 + 15 = 8 -10 + -5v = 8 + 4v + 6v Combine like terms: 4v + 6v = 10v -10 + -5v = 8 + 10v Solving -10 + -5v = 8 + 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. -10 + -5v + -10v = 8 + 10v + -10v Combine like terms: -5v + -10v = -15v -10 + -15v = 8 + 10v + -10v Combine like terms: 10v + -10v = 0 -10 + -15v = 8 + 0 -10 + -15v = 8 Add '10' to each side of the equation. -10 + 10 + -15v = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -15v = 8 + 10 -15v = 8 + 10 Combine like terms: 8 + 10 = 18 -15v = 18 Divide each side by '-15'. v = -1.2 Simplifying v = -1.2
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