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Simplifying 4(t + 3) + 3(3t) = 77 Reorder the terms: 4(3 + t) + 3(3t) = 77 (3 * 4 + t * 4) + 3(3t) = 77 (12 + 4t) + 3(3t) = 77 Remove parenthesis around (3t) 12 + 4t + 3 * 3t = 77 Multiply 3 * 3 12 + 4t + 9t = 77 Combine like terms: 4t + 9t = 13t 12 + 13t = 77 Solving 12 + 13t = 77 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 13t = 77 + -12 Combine like terms: 12 + -12 = 0 0 + 13t = 77 + -12 13t = 77 + -12 Combine like terms: 77 + -12 = 65 13t = 65 Divide each side by '13'. t = 5 Simplifying t = 5
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