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Simplifying -2 + 12z + 13q + -4z + -2q + 15 = 0 Reorder the terms: -2 + 15 + 13q + -2q + 12z + -4z = 0 Combine like terms: -2 + 15 = 13 13 + 13q + -2q + 12z + -4z = 0 Combine like terms: 13q + -2q = 11q 13 + 11q + 12z + -4z = 0 Combine like terms: 12z + -4z = 8z 13 + 11q + 8z = 0 Solving 13 + 11q + 8z = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 11q + -13 + 8z = 0 + -13 Reorder the terms: 13 + -13 + 11q + 8z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 11q + 8z = 0 + -13 11q + 8z = 0 + -13 Combine like terms: 0 + -13 = -13 11q + 8z = -13 Add '-8z' to each side of the equation. 11q + 8z + -8z = -13 + -8z Combine like terms: 8z + -8z = 0 11q + 0 = -13 + -8z 11q = -13 + -8z Divide each side by '11'. q = -1.181818182 + -0.7272727273z Simplifying q = -1.181818182 + -0.7272727273z
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