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Simplifying 6(t + -6) + 6t = 4(3t + 4) + -12t Reorder the terms: 6(-6 + t) + 6t = 4(3t + 4) + -12t (-6 * 6 + t * 6) + 6t = 4(3t + 4) + -12t (-36 + 6t) + 6t = 4(3t + 4) + -12t Combine like terms: 6t + 6t = 12t -36 + 12t = 4(3t + 4) + -12t Reorder the terms: -36 + 12t = 4(4 + 3t) + -12t -36 + 12t = (4 * 4 + 3t * 4) + -12t -36 + 12t = (16 + 12t) + -12t Combine like terms: 12t + -12t = 0 -36 + 12t = 16 + 0 -36 + 12t = 16 Solving -36 + 12t = 16 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 12t = 16 + 36 Combine like terms: -36 + 36 = 0 0 + 12t = 16 + 36 12t = 16 + 36 Combine like terms: 16 + 36 = 52 12t = 52 Divide each side by '12'. t = 4.333333333 Simplifying t = 4.333333333
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