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Simplifying 6(6t + 3) + 12 = 27p + 45 Reorder the terms: 6(3 + 6t) + 12 = 27p + 45 (3 * 6 + 6t * 6) + 12 = 27p + 45 (18 + 36t) + 12 = 27p + 45 Reorder the terms: 18 + 12 + 36t = 27p + 45 Combine like terms: 18 + 12 = 30 30 + 36t = 27p + 45 Reorder the terms: 30 + 36t = 45 + 27p Solving 30 + 36t = 45 + 27p Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 36t = 45 + -30 + 27p Combine like terms: 30 + -30 = 0 0 + 36t = 45 + -30 + 27p 36t = 45 + -30 + 27p Combine like terms: 45 + -30 = 15 36t = 15 + 27p Divide each side by '36'. t = 0.4166666667 + 0.75p Simplifying t = 0.4166666667 + 0.75p
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