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Simplifying 3(3t + 8) = 4 + 10t + 1 Reorder the terms: 3(8 + 3t) = 4 + 10t + 1 (8 * 3 + 3t * 3) = 4 + 10t + 1 (24 + 9t) = 4 + 10t + 1 Reorder the terms: 24 + 9t = 4 + 1 + 10t Combine like terms: 4 + 1 = 5 24 + 9t = 5 + 10t Solving 24 + 9t = 5 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 24 + 9t + -10t = 5 + 10t + -10t Combine like terms: 9t + -10t = -1t 24 + -1t = 5 + 10t + -10t Combine like terms: 10t + -10t = 0 24 + -1t = 5 + 0 24 + -1t = 5 Add '-24' to each side of the equation. 24 + -24 + -1t = 5 + -24 Combine like terms: 24 + -24 = 0 0 + -1t = 5 + -24 -1t = 5 + -24 Combine like terms: 5 + -24 = -19 -1t = -19 Divide each side by '-1'. t = 19 Simplifying t = 19
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