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Simplifying 6(t + 3) + -5t = 1 Reorder the terms: 6(3 + t) + -5t = 1 (3 * 6 + t * 6) + -5t = 1 (18 + 6t) + -5t = 1 Combine like terms: 6t + -5t = 1t 18 + 1t = 1 Solving 18 + 1t = 1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 1t = 1 + -18 Combine like terms: 18 + -18 = 0 0 + 1t = 1 + -18 1t = 1 + -18 Combine like terms: 1 + -18 = -17 1t = -17 Divide each side by '1'. t = -17 Simplifying t = -17
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