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Simplifying 2t + 8 = 5t + -58 Reorder the terms: 8 + 2t = 5t + -58 Reorder the terms: 8 + 2t = -58 + 5t Solving 8 + 2t = -58 + 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. 8 + 2t + -5t = -58 + 5t + -5t Combine like terms: 2t + -5t = -3t 8 + -3t = -58 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -3t = -58 + 0 8 + -3t = -58 Add '-8' to each side of the equation. 8 + -8 + -3t = -58 + -8 Combine like terms: 8 + -8 = 0 0 + -3t = -58 + -8 -3t = -58 + -8 Combine like terms: -58 + -8 = -66 -3t = -66 Divide each side by '-3'. t = 22 Simplifying t = 22
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