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Simplifying 3(-3 + -2v) + 7(4 + 5v) = 48 (-3 * 3 + -2v * 3) + 7(4 + 5v) = 48 (-9 + -6v) + 7(4 + 5v) = 48 -9 + -6v + (4 * 7 + 5v * 7) = 48 -9 + -6v + (28 + 35v) = 48 Reorder the terms: -9 + 28 + -6v + 35v = 48 Combine like terms: -9 + 28 = 19 19 + -6v + 35v = 48 Combine like terms: -6v + 35v = 29v 19 + 29v = 48 Solving 19 + 29v = 48 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 29v = 48 + -19 Combine like terms: 19 + -19 = 0 0 + 29v = 48 + -19 29v = 48 + -19 Combine like terms: 48 + -19 = 29 29v = 29 Divide each side by '29'. v = 1 Simplifying v = 1
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