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Simplifying -9(v + -2) + -4v + -6 = 7v + -10 Reorder the terms: -9(-2 + v) + -4v + -6 = 7v + -10 (-2 * -9 + v * -9) + -4v + -6 = 7v + -10 (18 + -9v) + -4v + -6 = 7v + -10 Reorder the terms: 18 + -6 + -9v + -4v = 7v + -10 Combine like terms: 18 + -6 = 12 12 + -9v + -4v = 7v + -10 Combine like terms: -9v + -4v = -13v 12 + -13v = 7v + -10 Reorder the terms: 12 + -13v = -10 + 7v Solving 12 + -13v = -10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 12 + -13v + -7v = -10 + 7v + -7v Combine like terms: -13v + -7v = -20v 12 + -20v = -10 + 7v + -7v Combine like terms: 7v + -7v = 0 12 + -20v = -10 + 0 12 + -20v = -10 Add '-12' to each side of the equation. 12 + -12 + -20v = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -20v = -10 + -12 -20v = -10 + -12 Combine like terms: -10 + -12 = -22 -20v = -22 Divide each side by '-20'. v = 1.1 Simplifying v = 1.1
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