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Simplifying 8 + 8t + 14q + 3t + -2q + -7 = 0 Reorder the terms: 8 + -7 + 14q + -2q + 8t + 3t = 0 Combine like terms: 8 + -7 = 1 1 + 14q + -2q + 8t + 3t = 0 Combine like terms: 14q + -2q = 12q 1 + 12q + 8t + 3t = 0 Combine like terms: 8t + 3t = 11t 1 + 12q + 11t = 0 Solving 1 + 12q + 11t = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 12q + -1 + 11t = 0 + -1 Reorder the terms: 1 + -1 + 12q + 11t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12q + 11t = 0 + -1 12q + 11t = 0 + -1 Combine like terms: 0 + -1 = -1 12q + 11t = -1 Add '-11t' to each side of the equation. 12q + 11t + -11t = -1 + -11t Combine like terms: 11t + -11t = 0 12q + 0 = -1 + -11t 12q = -1 + -11t Divide each side by '12'. q = -0.08333333333 + -0.9166666667t Simplifying q = -0.08333333333 + -0.9166666667t
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