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Simplifying 3(3 + 4t) + -3 = 6(d + 4) (3 * 3 + 4t * 3) + -3 = 6(d + 4) (9 + 12t) + -3 = 6(d + 4) Reorder the terms: 9 + -3 + 12t = 6(d + 4) Combine like terms: 9 + -3 = 6 6 + 12t = 6(d + 4) Reorder the terms: 6 + 12t = 6(4 + d) 6 + 12t = (4 * 6 + d * 6) 6 + 12t = (24 + 6d) Solving 6 + 12t = 24 + 6d Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12t = 24 + -6 + 6d Combine like terms: 6 + -6 = 0 0 + 12t = 24 + -6 + 6d 12t = 24 + -6 + 6d Combine like terms: 24 + -6 = 18 12t = 18 + 6d Divide each side by '12'. t = 1.5 + 0.5d Simplifying t = 1.5 + 0.5d
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