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Simplifying -4(v + 5) + -3(v + 4) = 1 Reorder the terms: -4(5 + v) + -3(v + 4) = 1 (5 * -4 + v * -4) + -3(v + 4) = 1 (-20 + -4v) + -3(v + 4) = 1 Reorder the terms: -20 + -4v + -3(4 + v) = 1 -20 + -4v + (4 * -3 + v * -3) = 1 -20 + -4v + (-12 + -3v) = 1 Reorder the terms: -20 + -12 + -4v + -3v = 1 Combine like terms: -20 + -12 = -32 -32 + -4v + -3v = 1 Combine like terms: -4v + -3v = -7v -32 + -7v = 1 Solving -32 + -7v = 1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -7v = 1 + 32 Combine like terms: -32 + 32 = 0 0 + -7v = 1 + 32 -7v = 1 + 32 Combine like terms: 1 + 32 = 33 -7v = 33 Divide each side by '-7'. v = -4.714285714 Simplifying v = -4.714285714
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