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Simplifying 2(-7v + -4) = 7(2 + -1r) + 8(1 + 2r) Reorder the terms: 2(-4 + -7v) = 7(2 + -1r) + 8(1 + 2r) (-4 * 2 + -7v * 2) = 7(2 + -1r) + 8(1 + 2r) (-8 + -14v) = 7(2 + -1r) + 8(1 + 2r) -8 + -14v = (2 * 7 + -1r * 7) + 8(1 + 2r) -8 + -14v = (14 + -7r) + 8(1 + 2r) -8 + -14v = 14 + -7r + (1 * 8 + 2r * 8) -8 + -14v = 14 + -7r + (8 + 16r) Reorder the terms: -8 + -14v = 14 + 8 + -7r + 16r Combine like terms: 14 + 8 = 22 -8 + -14v = 22 + -7r + 16r Combine like terms: -7r + 16r = 9r -8 + -14v = 22 + 9r Solving -8 + -14v = 22 + 9r Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -14v = 22 + 8 + 9r Combine like terms: -8 + 8 = 0 0 + -14v = 22 + 8 + 9r -14v = 22 + 8 + 9r Combine like terms: 22 + 8 = 30 -14v = 30 + 9r Divide each side by '-14'. v = -2.142857143 + -0.6428571429r Simplifying v = -2.142857143 + -0.6428571429r
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