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Simplifying 6(2t + 3) = 2(9t + 14) Reorder the terms: 6(3 + 2t) = 2(9t + 14) (3 * 6 + 2t * 6) = 2(9t + 14) (18 + 12t) = 2(9t + 14) Reorder the terms: 18 + 12t = 2(14 + 9t) 18 + 12t = (14 * 2 + 9t * 2) 18 + 12t = (28 + 18t) Solving 18 + 12t = 28 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 18 + 12t + -18t = 28 + 18t + -18t Combine like terms: 12t + -18t = -6t 18 + -6t = 28 + 18t + -18t Combine like terms: 18t + -18t = 0 18 + -6t = 28 + 0 18 + -6t = 28 Add '-18' to each side of the equation. 18 + -18 + -6t = 28 + -18 Combine like terms: 18 + -18 = 0 0 + -6t = 28 + -18 -6t = 28 + -18 Combine like terms: 28 + -18 = 10 -6t = 10 Divide each side by '-6'. t = -1.666666667 Simplifying t = -1.666666667
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