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Simplifying 4q + 3 = 3(q + -4) Reorder the terms: 3 + 4q = 3(q + -4) Reorder the terms: 3 + 4q = 3(-4 + q) 3 + 4q = (-4 * 3 + q * 3) 3 + 4q = (-12 + 3q) Solving 3 + 4q = -12 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 3 + 4q + -3q = -12 + 3q + -3q Combine like terms: 4q + -3q = 1q 3 + 1q = -12 + 3q + -3q Combine like terms: 3q + -3q = 0 3 + 1q = -12 + 0 3 + 1q = -12 Add '-3' to each side of the equation. 3 + -3 + 1q = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 1q = -12 + -3 1q = -12 + -3 Combine like terms: -12 + -3 = -15 1q = -15 Divide each side by '1'. q = -15 Simplifying q = -15
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