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Simplifying 3(3t + 2) = 5t + 8 Reorder the terms: 3(2 + 3t) = 5t + 8 (2 * 3 + 3t * 3) = 5t + 8 (6 + 9t) = 5t + 8 Reorder the terms: 6 + 9t = 8 + 5t Solving 6 + 9t = 8 + 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. 6 + 9t + -5t = 8 + 5t + -5t Combine like terms: 9t + -5t = 4t 6 + 4t = 8 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + 4t = 8 + 0 6 + 4t = 8 Add '-6' to each side of the equation. 6 + -6 + 4t = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 4t = 8 + -6 4t = 8 + -6 Combine like terms: 8 + -6 = 2 4t = 2 Divide each side by '4'. t = 0.5 Simplifying t = 0.5
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