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Simplifying 4(2q + -3) + -4q = 3(3q + -4) Reorder the terms: 4(-3 + 2q) + -4q = 3(3q + -4) (-3 * 4 + 2q * 4) + -4q = 3(3q + -4) (-12 + 8q) + -4q = 3(3q + -4) Combine like terms: 8q + -4q = 4q -12 + 4q = 3(3q + -4) Reorder the terms: -12 + 4q = 3(-4 + 3q) -12 + 4q = (-4 * 3 + 3q * 3) -12 + 4q = (-12 + 9q) Add '12' to each side of the equation. -12 + 12 + 4q = -12 + 12 + 9q Combine like terms: -12 + 12 = 0 0 + 4q = -12 + 12 + 9q 4q = -12 + 12 + 9q Combine like terms: -12 + 12 = 0 4q = 0 + 9q 4q = 9q Solving 4q = 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 4q + -9q = 9q + -9q Combine like terms: 4q + -9q = -5q -5q = 9q + -9q Combine like terms: 9q + -9q = 0 -5q = 0 Divide each side by '-5'. q = 0 Simplifying q = 0
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