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Simplifying 11(7 + -3v) = -11(v + -12) + 11 (7 * 11 + -3v * 11) = -11(v + -12) + 11 (77 + -33v) = -11(v + -12) + 11 Reorder the terms: 77 + -33v = -11(-12 + v) + 11 77 + -33v = (-12 * -11 + v * -11) + 11 77 + -33v = (132 + -11v) + 11 Reorder the terms: 77 + -33v = 132 + 11 + -11v Combine like terms: 132 + 11 = 143 77 + -33v = 143 + -11v Solving 77 + -33v = 143 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 77 + -33v + 11v = 143 + -11v + 11v Combine like terms: -33v + 11v = -22v 77 + -22v = 143 + -11v + 11v Combine like terms: -11v + 11v = 0 77 + -22v = 143 + 0 77 + -22v = 143 Add '-77' to each side of the equation. 77 + -77 + -22v = 143 + -77 Combine like terms: 77 + -77 = 0 0 + -22v = 143 + -77 -22v = 143 + -77 Combine like terms: 143 + -77 = 66 -22v = 66 Divide each side by '-22'. v = -3 Simplifying v = -3
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