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Simplifying 5 + 2t + -4 = 8t + 28 + -3t Reorder the terms: 5 + -4 + 2t = 8t + 28 + -3t Combine like terms: 5 + -4 = 1 1 + 2t = 8t + 28 + -3t Reorder the terms: 1 + 2t = 28 + 8t + -3t Combine like terms: 8t + -3t = 5t 1 + 2t = 28 + 5t Solving 1 + 2t = 28 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1 + 2t + -5t = 28 + 5t + -5t Combine like terms: 2t + -5t = -3t 1 + -3t = 28 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + -3t = 28 + 0 1 + -3t = 28 Add '-1' to each side of the equation. 1 + -1 + -3t = 28 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = 28 + -1 -3t = 28 + -1 Combine like terms: 28 + -1 = 27 -3t = 27 Divide each side by '-3'. t = -9 Simplifying t = -9
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