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Simplifying 6 + 8t + -3 = 6t + 15 + -4t Reorder the terms: 6 + -3 + 8t = 6t + 15 + -4t Combine like terms: 6 + -3 = 3 3 + 8t = 6t + 15 + -4t Reorder the terms: 3 + 8t = 15 + 6t + -4t Combine like terms: 6t + -4t = 2t 3 + 8t = 15 + 2t Solving 3 + 8t = 15 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 3 + 8t + -2t = 15 + 2t + -2t Combine like terms: 8t + -2t = 6t 3 + 6t = 15 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 6t = 15 + 0 3 + 6t = 15 Add '-3' to each side of the equation. 3 + -3 + 6t = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6t = 15 + -3 6t = 15 + -3 Combine like terms: 15 + -3 = 12 6t = 12 Divide each side by '6'. t = 2 Simplifying t = 2
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