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Simplifying -1(1 + 7v) + -6(-7 + -1x) = 36 (1 * -1 + 7v * -1) + -6(-7 + -1x) = 36 (-1 + -7v) + -6(-7 + -1x) = 36 -1 + -7v + (-7 * -6 + -1x * -6) = 36 -1 + -7v + (42 + 6x) = 36 Reorder the terms: -1 + 42 + -7v + 6x = 36 Combine like terms: -1 + 42 = 41 41 + -7v + 6x = 36 Solving 41 + -7v + 6x = 36 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -7v + -41 + 6x = 36 + -41 Reorder the terms: 41 + -41 + -7v + 6x = 36 + -41 Combine like terms: 41 + -41 = 0 0 + -7v + 6x = 36 + -41 -7v + 6x = 36 + -41 Combine like terms: 36 + -41 = -5 -7v + 6x = -5 Add '-6x' to each side of the equation. -7v + 6x + -6x = -5 + -6x Combine like terms: 6x + -6x = 0 -7v + 0 = -5 + -6x -7v = -5 + -6x Divide each side by '-7'. v = 0.7142857143 + 0.8571428571x Simplifying v = 0.7142857143 + 0.8571428571x
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