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Simplifying 7t + 9 + -1t = -7 + -10t Reorder the terms: 9 + 7t + -1t = -7 + -10t Combine like terms: 7t + -1t = 6t 9 + 6t = -7 + -10t Solving 9 + 6t = -7 + -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. 9 + 6t + 10t = -7 + -10t + 10t Combine like terms: 6t + 10t = 16t 9 + 16t = -7 + -10t + 10t Combine like terms: -10t + 10t = 0 9 + 16t = -7 + 0 9 + 16t = -7 Add '-9' to each side of the equation. 9 + -9 + 16t = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 16t = -7 + -9 16t = -7 + -9 Combine like terms: -7 + -9 = -16 16t = -16 Divide each side by '16'. t = -1 Simplifying t = -1
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