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Simplifying 5t + -3t + 20 = 36 + -4t Reorder the terms: 20 + 5t + -3t = 36 + -4t Combine like terms: 5t + -3t = 2t 20 + 2t = 36 + -4t Solving 20 + 2t = 36 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 20 + 2t + 4t = 36 + -4t + 4t Combine like terms: 2t + 4t = 6t 20 + 6t = 36 + -4t + 4t Combine like terms: -4t + 4t = 0 20 + 6t = 36 + 0 20 + 6t = 36 Add '-20' to each side of the equation. 20 + -20 + 6t = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 6t = 36 + -20 6t = 36 + -20 Combine like terms: 36 + -20 = 16 6t = 16 Divide each side by '6'. t = 2.666666667 Simplifying t = 2.666666667
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