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Simplifying 2(4t + 1) = t + 8 + t + -6 Reorder the terms: 2(1 + 4t) = t + 8 + t + -6 (1 * 2 + 4t * 2) = t + 8 + t + -6 (2 + 8t) = t + 8 + t + -6 Reorder the terms: 2 + 8t = 8 + -6 + t + t Combine like terms: 8 + -6 = 2 2 + 8t = 2 + t + t Combine like terms: t + t = 2t 2 + 8t = 2 + 2t Add '-2' to each side of the equation. 2 + -2 + 8t = 2 + -2 + 2t Combine like terms: 2 + -2 = 0 0 + 8t = 2 + -2 + 2t 8t = 2 + -2 + 2t Combine like terms: 2 + -2 = 0 8t = 0 + 2t 8t = 2t Solving 8t = 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. 8t + -2t = 2t + -2t Combine like terms: 8t + -2t = 6t 6t = 2t + -2t Combine like terms: 2t + -2t = 0 6t = 0 Divide each side by '6'. t = 0 Simplifying t = 0
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