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Simplifying -8t + -6t + 7 = 2t + -5t + 3 Reorder the terms: 7 + -8t + -6t = 2t + -5t + 3 Combine like terms: -8t + -6t = -14t 7 + -14t = 2t + -5t + 3 Reorder the terms: 7 + -14t = 3 + 2t + -5t Combine like terms: 2t + -5t = -3t 7 + -14t = 3 + -3t Solving 7 + -14t = 3 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 7 + -14t + 3t = 3 + -3t + 3t Combine like terms: -14t + 3t = -11t 7 + -11t = 3 + -3t + 3t Combine like terms: -3t + 3t = 0 7 + -11t = 3 + 0 7 + -11t = 3 Add '-7' to each side of the equation. 7 + -7 + -11t = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -11t = 3 + -7 -11t = 3 + -7 Combine like terms: 3 + -7 = -4 -11t = -4 Divide each side by '-11'. t = 0.3636363636 Simplifying t = 0.3636363636
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