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Simplifying -11.51 + -12.6q + 1.33 = -14q + -15.92 Reorder the terms: -11.51 + 1.33 + -12.6q = -14q + -15.92 Combine like terms: -11.51 + 1.33 = -10.18 -10.18 + -12.6q = -14q + -15.92 Reorder the terms: -10.18 + -12.6q = -15.92 + -14q Solving -10.18 + -12.6q = -15.92 + -14q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '14q' to each side of the equation. -10.18 + -12.6q + 14q = -15.92 + -14q + 14q Combine like terms: -12.6q + 14q = 1.4q -10.18 + 1.4q = -15.92 + -14q + 14q Combine like terms: -14q + 14q = 0 -10.18 + 1.4q = -15.92 + 0 -10.18 + 1.4q = -15.92 Add '10.18' to each side of the equation. -10.18 + 10.18 + 1.4q = -15.92 + 10.18 Combine like terms: -10.18 + 10.18 = 0.00 0.00 + 1.4q = -15.92 + 10.18 1.4q = -15.92 + 10.18 Combine like terms: -15.92 + 10.18 = -5.74 1.4q = -5.74 Divide each side by '1.4'. q = -4.1 Simplifying q = -4.1
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