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Simplifying -3v + 18 = 7(v + -6) Reorder the terms: 18 + -3v = 7(v + -6) Reorder the terms: 18 + -3v = 7(-6 + v) 18 + -3v = (-6 * 7 + v * 7) 18 + -3v = (-42 + 7v) Solving 18 + -3v = -42 + 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. 18 + -3v + -7v = -42 + 7v + -7v Combine like terms: -3v + -7v = -10v 18 + -10v = -42 + 7v + -7v Combine like terms: 7v + -7v = 0 18 + -10v = -42 + 0 18 + -10v = -42 Add '-18' to each side of the equation. 18 + -18 + -10v = -42 + -18 Combine like terms: 18 + -18 = 0 0 + -10v = -42 + -18 -10v = -42 + -18 Combine like terms: -42 + -18 = -60 -10v = -60 Divide each side by '-10'. v = 6 Simplifying v = 6
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