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Simplifying 3(t + 10) = t + 90 Reorder the terms: 3(10 + t) = t + 90 (10 * 3 + t * 3) = t + 90 (30 + 3t) = t + 90 Reorder the terms: 30 + 3t = 90 + t Solving 30 + 3t = 90 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 30 + 3t + -1t = 90 + t + -1t Combine like terms: 3t + -1t = 2t 30 + 2t = 90 + t + -1t Combine like terms: t + -1t = 0 30 + 2t = 90 + 0 30 + 2t = 90 Add '-30' to each side of the equation. 30 + -30 + 2t = 90 + -30 Combine like terms: 30 + -30 = 0 0 + 2t = 90 + -30 2t = 90 + -30 Combine like terms: 90 + -30 = 60 2t = 60 Divide each side by '2'. t = 30 Simplifying t = 30
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