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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 = 10q -88 + 10q = -28 + 12q + -12q Combine like terms: 12q + -12q = 0 -88 + 10q = -28 + 0 -88 + 10q = -28 Add '88' to each side of the equation. -88 + 88 + 10q = -28 + 88 Combine like terms: -88 + 88 = 0 0 + 10q = -28 + 88 10q = -28 + 88 Combine like terms: -28 + 88 = 60 10q = 60 Divide each side by '10'. q = 6 Simplifying q = 6
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