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Simplifying -9 + 2t + -5 = 10 + 10t Reorder the terms: -9 + -5 + 2t = 10 + 10t Combine like terms: -9 + -5 = -14 -14 + 2t = 10 + 10t Solving -14 + 2t = 10 + 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. -14 + 2t + -10t = 10 + 10t + -10t Combine like terms: 2t + -10t = -8t -14 + -8t = 10 + 10t + -10t Combine like terms: 10t + -10t = 0 -14 + -8t = 10 + 0 -14 + -8t = 10 Add '14' to each side of the equation. -14 + 14 + -8t = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -8t = 10 + 14 -8t = 10 + 14 Combine like terms: 10 + 14 = 24 -8t = 24 Divide each side by '-8'. t = -3 Simplifying t = -3
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