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Simplifying 11(2q + -8) = (4)(7 + -3q) Reorder the terms: 11(-8 + 2q) = (4)(7 + -3q) (-8 * 11 + 2q * 11) = (4)(7 + -3q) (-88 + 22q) = (4)(7 + -3q) -88 + 22q = (7 * 4 + -3q * 4) -88 + 22q = (28 + -12q) Solving -88 + 22q = 28 + -12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12q' to each side of the equation. -88 + 22q + 12q = 28 + -12q + 12q Combine like terms: 22q + 12q = 34q -88 + 34q = 28 + -12q + 12q Combine like terms: -12q + 12q = 0 -88 + 34q = 28 + 0 -88 + 34q = 28 Add '88' to each side of the equation. -88 + 88 + 34q = 28 + 88 Combine like terms: -88 + 88 = 0 0 + 34q = 28 + 88 34q = 28 + 88 Combine like terms: 28 + 88 = 116 34q = 116 Divide each side by '34'. q = 3.411764706 Simplifying q = 3.411764706
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