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Simplifying 8q + 3 = 3(9q + -7) Reorder the terms: 3 + 8q = 3(9q + -7) Reorder the terms: 3 + 8q = 3(-7 + 9q) 3 + 8q = (-7 * 3 + 9q * 3) 3 + 8q = (-21 + 27q) Solving 3 + 8q = -21 + 27q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-27q' to each side of the equation. 3 + 8q + -27q = -21 + 27q + -27q Combine like terms: 8q + -27q = -19q 3 + -19q = -21 + 27q + -27q Combine like terms: 27q + -27q = 0 3 + -19q = -21 + 0 3 + -19q = -21 Add '-3' to each side of the equation. 3 + -3 + -19q = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -19q = -21 + -3 -19q = -21 + -3 Combine like terms: -21 + -3 = -24 -19q = -24 Divide each side by '-19'. q = 1.263157895 Simplifying q = 1.263157895
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