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Simplifying 7t + -11t + -6 + 15 = -1t + 17 Reorder the terms: -6 + 15 + 7t + -11t = -1t + 17 Combine like terms: -6 + 15 = 9 9 + 7t + -11t = -1t + 17 Combine like terms: 7t + -11t = -4t 9 + -4t = -1t + 17 Reorder the terms: 9 + -4t = 17 + -1t Solving 9 + -4t = 17 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 9 + -4t + t = 17 + -1t + t Combine like terms: -4t + t = -3t 9 + -3t = 17 + -1t + t Combine like terms: -1t + t = 0 9 + -3t = 17 + 0 9 + -3t = 17 Add '-9' to each side of the equation. 9 + -9 + -3t = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -3t = 17 + -9 -3t = 17 + -9 Combine like terms: 17 + -9 = 8 -3t = 8 Divide each side by '-3'. t = -2.666666667 Simplifying t = -2.666666667
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