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Simplifying 6(3q + -2) = 9(6q + 3) Reorder the terms: 6(-2 + 3q) = 9(6q + 3) (-2 * 6 + 3q * 6) = 9(6q + 3) (-12 + 18q) = 9(6q + 3) Reorder the terms: -12 + 18q = 9(3 + 6q) -12 + 18q = (3 * 9 + 6q * 9) -12 + 18q = (27 + 54q) Solving -12 + 18q = 27 + 54q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-54q' to each side of the equation. -12 + 18q + -54q = 27 + 54q + -54q Combine like terms: 18q + -54q = -36q -12 + -36q = 27 + 54q + -54q Combine like terms: 54q + -54q = 0 -12 + -36q = 27 + 0 -12 + -36q = 27 Add '12' to each side of the equation. -12 + 12 + -36q = 27 + 12 Combine like terms: -12 + 12 = 0 0 + -36q = 27 + 12 -36q = 27 + 12 Combine like terms: 27 + 12 = 39 -36q = 39 Divide each side by '-36'. q = -1.083333333 Simplifying q = -1.083333333
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