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Simplifying 20 + 8(q + -11) = 24 + -1024 + -10b Reorder the terms: 20 + 8(-11 + q) = 24 + -1024 + -10b 20 + (-11 * 8 + q * 8) = 24 + -1024 + -10b 20 + (-88 + 8q) = 24 + -1024 + -10b Combine like terms: 20 + -88 = -68 -68 + 8q = 24 + -1024 + -10b Combine like terms: 24 + -1024 = -1000 -68 + 8q = -1000 + -10b Solving -68 + 8q = -1000 + -10b Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + 8q = -1000 + 68 + -10b Combine like terms: -68 + 68 = 0 0 + 8q = -1000 + 68 + -10b 8q = -1000 + 68 + -10b Combine like terms: -1000 + 68 = -932 8q = -932 + -10b Divide each side by '8'. q = -116.5 + -1.25b Simplifying q = -116.5 + -1.25b
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