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Simplifying -102 = 6(-3 + 7v) -102 = (-3 * 6 + 7v * 6) -102 = (-18 + 42v) Solving -102 = -18 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. -102 + -42v = -18 + 42v + -42v Combine like terms: 42v + -42v = 0 -102 + -42v = -18 + 0 -102 + -42v = -18 Add '102' to each side of the equation. -102 + 102 + -42v = -18 + 102 Combine like terms: -102 + 102 = 0 0 + -42v = -18 + 102 -42v = -18 + 102 Combine like terms: -18 + 102 = 84 -42v = 84 Divide each side by '-42'. v = -2 Simplifying v = -2
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