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Simplifying 11(2q + -8) = (7 + -3q) Reorder the terms: 11(-8 + 2q) = (7 + -3q) (-8 * 11 + 2q * 11) = (7 + -3q) (-88 + 22q) = (7 + -3q) Remove parenthesis around (7 + -3q) -88 + 22q = 7 + -3q Solving -88 + 22q = 7 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. -88 + 22q + 3q = 7 + -3q + 3q Combine like terms: 22q + 3q = 25q -88 + 25q = 7 + -3q + 3q Combine like terms: -3q + 3q = 0 -88 + 25q = 7 + 0 -88 + 25q = 7 Add '88' to each side of the equation. -88 + 88 + 25q = 7 + 88 Combine like terms: -88 + 88 = 0 0 + 25q = 7 + 88 25q = 7 + 88 Combine like terms: 7 + 88 = 95 25q = 95 Divide each side by '25'. q = 3.8 Simplifying q = 3.8
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