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Simplifying 15 + 10t + 7q + -5t + -3q + -24 = 0 Reorder the terms: 15 + -24 + 7q + -3q + 10t + -5t = 0 Combine like terms: 15 + -24 = -9 -9 + 7q + -3q + 10t + -5t = 0 Combine like terms: 7q + -3q = 4q -9 + 4q + 10t + -5t = 0 Combine like terms: 10t + -5t = 5t -9 + 4q + 5t = 0 Solving -9 + 4q + 5t = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 4q + 9 + 5t = 0 + 9 Reorder the terms: -9 + 9 + 4q + 5t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4q + 5t = 0 + 9 4q + 5t = 0 + 9 Combine like terms: 0 + 9 = 9 4q + 5t = 9 Add '-5t' to each side of the equation. 4q + 5t + -5t = 9 + -5t Combine like terms: 5t + -5t = 0 4q + 0 = 9 + -5t 4q = 9 + -5t Divide each side by '4'. q = 2.25 + -1.25t Simplifying q = 2.25 + -1.25t
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