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Simplifying 5t + 15 + 9 = 3t + -6 + 6 Reorder the terms: 15 + 9 + 5t = 3t + -6 + 6 Combine like terms: 15 + 9 = 24 24 + 5t = 3t + -6 + 6 Reorder the terms: 24 + 5t = -6 + 6 + 3t Combine like terms: -6 + 6 = 0 24 + 5t = 0 + 3t 24 + 5t = 3t Solving 24 + 5t = 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 24 + 5t + -3t = 3t + -3t Combine like terms: 5t + -3t = 2t 24 + 2t = 3t + -3t Combine like terms: 3t + -3t = 0 24 + 2t = 0 Add '-24' to each side of the equation. 24 + -24 + 2t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2t = 0 + -24 2t = 0 + -24 Combine like terms: 0 + -24 = -24 2t = -24 Divide each side by '2'. t = -12 Simplifying t = -12
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