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Simplifying -2(7v + -9) + 7v = 3(v + 1) Reorder the terms: -2(-9 + 7v) + 7v = 3(v + 1) (-9 * -2 + 7v * -2) + 7v = 3(v + 1) (18 + -14v) + 7v = 3(v + 1) Combine like terms: -14v + 7v = -7v 18 + -7v = 3(v + 1) Reorder the terms: 18 + -7v = 3(1 + v) 18 + -7v = (1 * 3 + v * 3) 18 + -7v = (3 + 3v) Solving 18 + -7v = 3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 18 + -7v + -3v = 3 + 3v + -3v Combine like terms: -7v + -3v = -10v 18 + -10v = 3 + 3v + -3v Combine like terms: 3v + -3v = 0 18 + -10v = 3 + 0 18 + -10v = 3 Add '-18' to each side of the equation. 18 + -18 + -10v = 3 + -18 Combine like terms: 18 + -18 = 0 0 + -10v = 3 + -18 -10v = 3 + -18 Combine like terms: 3 + -18 = -15 -10v = -15 Divide each side by '-10'. v = 1.5 Simplifying v = 1.5
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