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Simplifying 3(5q + -4) = (4q + 6) Reorder the terms: 3(-4 + 5q) = (4q + 6) (-4 * 3 + 5q * 3) = (4q + 6) (-12 + 15q) = (4q + 6) Reorder the terms: -12 + 15q = (6 + 4q) Remove parenthesis around (6 + 4q) -12 + 15q = 6 + 4q Solving -12 + 15q = 6 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -12 + 15q + -4q = 6 + 4q + -4q Combine like terms: 15q + -4q = 11q -12 + 11q = 6 + 4q + -4q Combine like terms: 4q + -4q = 0 -12 + 11q = 6 + 0 -12 + 11q = 6 Add '12' to each side of the equation. -12 + 12 + 11q = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 11q = 6 + 12 11q = 6 + 12 Combine like terms: 6 + 12 = 18 11q = 18 Divide each side by '11'. q = 1.636363636 Simplifying q = 1.636363636
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