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Simplifying 30 = 6(2q + -3) Reorder the terms: 30 = 6(-3 + 2q) 30 = (-3 * 6 + 2q * 6) 30 = (-18 + 12q) Solving 30 = -18 + 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. 30 + -12q = -18 + 12q + -12q Combine like terms: 12q + -12q = 0 30 + -12q = -18 + 0 30 + -12q = -18 Add '-30' to each side of the equation. 30 + -30 + -12q = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -12q = -18 + -30 -12q = -18 + -30 Combine like terms: -18 + -30 = -48 -12q = -48 Divide each side by '-12'. q = 4 Simplifying q = 4
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