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Simplifying 23 + 8z + 14q + -2z + -3q + 26 = 0 Reorder the terms: 23 + 26 + 14q + -3q + 8z + -2z = 0 Combine like terms: 23 + 26 = 49 49 + 14q + -3q + 8z + -2z = 0 Combine like terms: 14q + -3q = 11q 49 + 11q + 8z + -2z = 0 Combine like terms: 8z + -2z = 6z 49 + 11q + 6z = 0 Solving 49 + 11q + 6z = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + 11q + -49 + 6z = 0 + -49 Reorder the terms: 49 + -49 + 11q + 6z = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 11q + 6z = 0 + -49 11q + 6z = 0 + -49 Combine like terms: 0 + -49 = -49 11q + 6z = -49 Add '-6z' to each side of the equation. 11q + 6z + -6z = -49 + -6z Combine like terms: 6z + -6z = 0 11q + 0 = -49 + -6z 11q = -49 + -6z Divide each side by '11'. q = -4.454545455 + -0.5454545455z Simplifying q = -4.454545455 + -0.5454545455z
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