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Simplifying -4t + 14t = 3(2t + 9) + -3 Combine like terms: -4t + 14t = 10t 10t = 3(2t + 9) + -3 Reorder the terms: 10t = 3(9 + 2t) + -3 10t = (9 * 3 + 2t * 3) + -3 10t = (27 + 6t) + -3 Reorder the terms: 10t = 27 + -3 + 6t Combine like terms: 27 + -3 = 24 10t = 24 + 6t Solving 10t = 24 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 10t + -6t = 24 + 6t + -6t Combine like terms: 10t + -6t = 4t 4t = 24 + 6t + -6t Combine like terms: 6t + -6t = 0 4t = 24 + 0 4t = 24 Divide each side by '4'. t = 6 Simplifying t = 6
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