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Simplifying -4(1 + -1v) + 3(v + -3) = 29 (1 * -4 + -1v * -4) + 3(v + -3) = 29 (-4 + 4v) + 3(v + -3) = 29 Reorder the terms: -4 + 4v + 3(-3 + v) = 29 -4 + 4v + (-3 * 3 + v * 3) = 29 -4 + 4v + (-9 + 3v) = 29 Reorder the terms: -4 + -9 + 4v + 3v = 29 Combine like terms: -4 + -9 = -13 -13 + 4v + 3v = 29 Combine like terms: 4v + 3v = 7v -13 + 7v = 29 Solving -13 + 7v = 29 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7v = 29 + 13 Combine like terms: -13 + 13 = 0 0 + 7v = 29 + 13 7v = 29 + 13 Combine like terms: 29 + 13 = 42 7v = 42 Divide each side by '7'. v = 6 Simplifying v = 6
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