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Simplifying 2(7 + 3t) = t + 1 (7 * 2 + 3t * 2) = t + 1 (14 + 6t) = t + 1 Reorder the terms: 14 + 6t = 1 + t Solving 14 + 6t = 1 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 14 + 6t + -1t = 1 + t + -1t Combine like terms: 6t + -1t = 5t 14 + 5t = 1 + t + -1t Combine like terms: t + -1t = 0 14 + 5t = 1 + 0 14 + 5t = 1 Add '-14' to each side of the equation. 14 + -14 + 5t = 1 + -14 Combine like terms: 14 + -14 = 0 0 + 5t = 1 + -14 5t = 1 + -14 Combine like terms: 1 + -14 = -13 5t = -13 Divide each side by '5'. t = -2.6 Simplifying t = -2.6
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