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Simplifying -8t + 13 = -12 + -3 + -10t Reorder the terms: 13 + -8t = -12 + -3 + -10t Combine like terms: -12 + -3 = -15 13 + -8t = -15 + -10t Solving 13 + -8t = -15 + -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. 13 + -8t + 10t = -15 + -10t + 10t Combine like terms: -8t + 10t = 2t 13 + 2t = -15 + -10t + 10t Combine like terms: -10t + 10t = 0 13 + 2t = -15 + 0 13 + 2t = -15 Add '-13' to each side of the equation. 13 + -13 + 2t = -15 + -13 Combine like terms: 13 + -13 = 0 0 + 2t = -15 + -13 2t = -15 + -13 Combine like terms: -15 + -13 = -28 2t = -28 Divide each side by '2'. t = -14 Simplifying t = -14
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