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Simplifying 4(q + 10) = 6(2q + -9) Reorder the terms: 4(10 + q) = 6(2q + -9) (10 * 4 + q * 4) = 6(2q + -9) (40 + 4q) = 6(2q + -9) Reorder the terms: 40 + 4q = 6(-9 + 2q) 40 + 4q = (-9 * 6 + 2q * 6) 40 + 4q = (-54 + 12q) Solving 40 + 4q = -54 + 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. 40 + 4q + -12q = -54 + 12q + -12q Combine like terms: 4q + -12q = -8q 40 + -8q = -54 + 12q + -12q Combine like terms: 12q + -12q = 0 40 + -8q = -54 + 0 40 + -8q = -54 Add '-40' to each side of the equation. 40 + -40 + -8q = -54 + -40 Combine like terms: 40 + -40 = 0 0 + -8q = -54 + -40 -8q = -54 + -40 Combine like terms: -54 + -40 = -94 -8q = -94 Divide each side by '-8'. q = 11.75 Simplifying q = 11.75
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