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Simplifying t + 1 + -4t + 8 = 21 + -20 Reorder the terms: 1 + 8 + t + -4t = 21 + -20 Combine like terms: 1 + 8 = 9 9 + t + -4t = 21 + -20 Combine like terms: t + -4t = -3t 9 + -3t = 21 + -20 Combine like terms: 21 + -20 = 1 9 + -3t = 1 Solving 9 + -3t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3t = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -3t = 1 + -9 -3t = 1 + -9 Combine like terms: 1 + -9 = -8 -3t = -8 Divide each side by '-3'. t = 2.666666667 Simplifying t = 2.666666667
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