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Simplifying 0.33(18 + 12q) = 6(2q + -7) (18 * 0.33 + 12q * 0.33) = 6(2q + -7) (5.94 + 3.96q) = 6(2q + -7) Reorder the terms: 5.94 + 3.96q = 6(-7 + 2q) 5.94 + 3.96q = (-7 * 6 + 2q * 6) 5.94 + 3.96q = (-42 + 12q) Solving 5.94 + 3.96q = -42 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. 5.94 + 3.96q + -12q = -42 + 12q + -12q Combine like terms: 3.96q + -12q = -8.04q 5.94 + -8.04q = -42 + 12q + -12q Combine like terms: 12q + -12q = 0 5.94 + -8.04q = -42 + 0 5.94 + -8.04q = -42 Add '-5.94' to each side of the equation. 5.94 + -5.94 + -8.04q = -42 + -5.94 Combine like terms: 5.94 + -5.94 = 0.00 0.00 + -8.04q = -42 + -5.94 -8.04q = -42 + -5.94 Combine like terms: -42 + -5.94 = -47.94 -8.04q = -47.94 Divide each side by '-8.04'. q = 5.962686567 Simplifying q = 5.962686567
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