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Simplifying 11 + -1(2q + -8) = -4(7 + -3q) Reorder the terms: 11 + -1(-8 + 2q) = -4(7 + -3q) 11 + (-8 * -1 + 2q * -1) = -4(7 + -3q) 11 + (8 + -2q) = -4(7 + -3q) Combine like terms: 11 + 8 = 19 19 + -2q = -4(7 + -3q) 19 + -2q = (7 * -4 + -3q * -4) 19 + -2q = (-28 + 12q) Solving 19 + -2q = -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. 19 + -2q + -12q = -28 + 12q + -12q Combine like terms: -2q + -12q = -14q 19 + -14q = -28 + 12q + -12q Combine like terms: 12q + -12q = 0 19 + -14q = -28 + 0 19 + -14q = -28 Add '-19' to each side of the equation. 19 + -19 + -14q = -28 + -19 Combine like terms: 19 + -19 = 0 0 + -14q = -28 + -19 -14q = -28 + -19 Combine like terms: -28 + -19 = -47 -14q = -47 Divide each side by '-14'. q = 3.357142857 Simplifying q = 3.357142857
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