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Simplifying -111 = -2(11v + 8) + -7(-5v + -5) Reorder the terms: -111 = -2(8 + 11v) + -7(-5v + -5) -111 = (8 * -2 + 11v * -2) + -7(-5v + -5) -111 = (-16 + -22v) + -7(-5v + -5) Reorder the terms: -111 = -16 + -22v + -7(-5 + -5v) -111 = -16 + -22v + (-5 * -7 + -5v * -7) -111 = -16 + -22v + (35 + 35v) Reorder the terms: -111 = -16 + 35 + -22v + 35v Combine like terms: -16 + 35 = 19 -111 = 19 + -22v + 35v Combine like terms: -22v + 35v = 13v -111 = 19 + 13v Solving -111 = 19 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -111 + -13v = 19 + 13v + -13v Combine like terms: 13v + -13v = 0 -111 + -13v = 19 + 0 -111 + -13v = 19 Add '111' to each side of the equation. -111 + 111 + -13v = 19 + 111 Combine like terms: -111 + 111 = 0 0 + -13v = 19 + 111 -13v = 19 + 111 Combine like terms: 19 + 111 = 130 -13v = 130 Divide each side by '-13'. v = -10 Simplifying v = -10
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