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Simplifying 8t + 6 = 5(t + 3) Reorder the terms: 6 + 8t = 5(t + 3) Reorder the terms: 6 + 8t = 5(3 + t) 6 + 8t = (3 * 5 + t * 5) 6 + 8t = (15 + 5t) Solving 6 + 8t = 15 + 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 + 8t + -5t = 15 + 5t + -5t Combine like terms: 8t + -5t = 3t 6 + 3t = 15 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + 3t = 15 + 0 6 + 3t = 15 Add '-6' to each side of the equation. 6 + -6 + 3t = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 3t = 15 + -6 3t = 15 + -6 Combine like terms: 15 + -6 = 9 3t = 9 Divide each side by '3'. t = 3 Simplifying t = 3
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