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Simplifying 1 + -1(8 + -1q) = 4q + 3(3q + -6) 1 + (8 * -1 + -1q * -1) = 4q + 3(3q + -6) 1 + (-8 + 1q) = 4q + 3(3q + -6) Combine like terms: 1 + -8 = -7 -7 + 1q = 4q + 3(3q + -6) Reorder the terms: -7 + 1q = 4q + 3(-6 + 3q) -7 + 1q = 4q + (-6 * 3 + 3q * 3) -7 + 1q = 4q + (-18 + 9q) Reorder the terms: -7 + 1q = -18 + 4q + 9q Combine like terms: 4q + 9q = 13q -7 + 1q = -18 + 13q Solving -7 + 1q = -18 + 13q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13q' to each side of the equation. -7 + 1q + -13q = -18 + 13q + -13q Combine like terms: 1q + -13q = -12q -7 + -12q = -18 + 13q + -13q Combine like terms: 13q + -13q = 0 -7 + -12q = -18 + 0 -7 + -12q = -18 Add '7' to each side of the equation. -7 + 7 + -12q = -18 + 7 Combine like terms: -7 + 7 = 0 0 + -12q = -18 + 7 -12q = -18 + 7 Combine like terms: -18 + 7 = -11 -12q = -11 Divide each side by '-12'. q = 0.9166666667 Simplifying q = 0.9166666667
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