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Simplifying -4(v + -2) = -5v + -10(5 + -3v) Reorder the terms: -4(-2 + v) = -5v + -10(5 + -3v) (-2 * -4 + v * -4) = -5v + -10(5 + -3v) (8 + -4v) = -5v + -10(5 + -3v) 8 + -4v = -5v + (5 * -10 + -3v * -10) 8 + -4v = -5v + (-50 + 30v) Reorder the terms: 8 + -4v = -50 + -5v + 30v Combine like terms: -5v + 30v = 25v 8 + -4v = -50 + 25v Solving 8 + -4v = -50 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. 8 + -4v + -25v = -50 + 25v + -25v Combine like terms: -4v + -25v = -29v 8 + -29v = -50 + 25v + -25v Combine like terms: 25v + -25v = 0 8 + -29v = -50 + 0 8 + -29v = -50 Add '-8' to each side of the equation. 8 + -8 + -29v = -50 + -8 Combine like terms: 8 + -8 = 0 0 + -29v = -50 + -8 -29v = -50 + -8 Combine like terms: -50 + -8 = -58 -29v = -58 Divide each side by '-29'. v = 2 Simplifying v = 2
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