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Simplifying -3(3v + 15) + -1(10 + x) = 35 Reorder the terms: -3(15 + 3v) + -1(10 + x) = 35 (15 * -3 + 3v * -3) + -1(10 + x) = 35 (-45 + -9v) + -1(10 + x) = 35 -45 + -9v + (10 * -1 + x * -1) = 35 -45 + -9v + (-10 + -1x) = 35 Reorder the terms: -45 + -10 + -9v + -1x = 35 Combine like terms: -45 + -10 = -55 -55 + -9v + -1x = 35 Solving -55 + -9v + -1x = 35 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '55' to each side of the equation. -55 + -9v + 55 + -1x = 35 + 55 Reorder the terms: -55 + 55 + -9v + -1x = 35 + 55 Combine like terms: -55 + 55 = 0 0 + -9v + -1x = 35 + 55 -9v + -1x = 35 + 55 Combine like terms: 35 + 55 = 90 -9v + -1x = 90 Add 'x' to each side of the equation. -9v + -1x + x = 90 + x Combine like terms: -1x + x = 0 -9v + 0 = 90 + x -9v = 90 + x Divide each side by '-9'. v = -10 + -0.1111111111x Simplifying v = -10 + -0.1111111111x
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