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Simplifying 3(5q + -4) = 2(4q + 6) Reorder the terms: 3(-4 + 5q) = 2(4q + 6) (-4 * 3 + 5q * 3) = 2(4q + 6) (-12 + 15q) = 2(4q + 6) Reorder the terms: -12 + 15q = 2(6 + 4q) -12 + 15q = (6 * 2 + 4q * 2) -12 + 15q = (12 + 8q) Solving -12 + 15q = 12 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -12 + 15q + -8q = 12 + 8q + -8q Combine like terms: 15q + -8q = 7q -12 + 7q = 12 + 8q + -8q Combine like terms: 8q + -8q = 0 -12 + 7q = 12 + 0 -12 + 7q = 12 Add '12' to each side of the equation. -12 + 12 + 7q = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 7q = 12 + 12 7q = 12 + 12 Combine like terms: 12 + 12 = 24 7q = 24 Divide each side by '7'. q = 3.428571429 Simplifying q = 3.428571429
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