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Simplifying 16q + 9 = -3(-3q + 11) Reorder the terms: 9 + 16q = -3(-3q + 11) Reorder the terms: 9 + 16q = -3(11 + -3q) 9 + 16q = (11 * -3 + -3q * -3) 9 + 16q = (-33 + 9q) Solving 9 + 16q = -33 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 9 + 16q + -9q = -33 + 9q + -9q Combine like terms: 16q + -9q = 7q 9 + 7q = -33 + 9q + -9q Combine like terms: 9q + -9q = 0 9 + 7q = -33 + 0 9 + 7q = -33 Add '-9' to each side of the equation. 9 + -9 + 7q = -33 + -9 Combine like terms: 9 + -9 = 0 0 + 7q = -33 + -9 7q = -33 + -9 Combine like terms: -33 + -9 = -42 7q = -42 Divide each side by '7'. q = -6 Simplifying q = -6
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