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Simplifying 3(t + 10) = 8t Reorder the terms: 3(10 + t) = 8t (10 * 3 + t * 3) = 8t (30 + 3t) = 8t Solving 30 + 3t = 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 30 + 3t + -8t = 8t + -8t Combine like terms: 3t + -8t = -5t 30 + -5t = 8t + -8t Combine like terms: 8t + -8t = 0 30 + -5t = 0 Add '-30' to each side of the equation. 30 + -30 + -5t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -5t = 0 + -30 -5t = 0 + -30 Combine like terms: 0 + -30 = -30 -5t = -30 Divide each side by '-5'. t = 6 Simplifying t = 6
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