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Simplifying 4(9 + 3t) + -2 = -6 (9 * 4 + 3t * 4) + -2 = -6 (36 + 12t) + -2 = -6 Reorder the terms: 36 + -2 + 12t = -6 Combine like terms: 36 + -2 = 34 34 + 12t = -6 Solving 34 + 12t = -6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 12t = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 12t = -6 + -34 12t = -6 + -34 Combine like terms: -6 + -34 = -40 12t = -40 Divide each side by '12'. t = -3.333333333 Simplifying t = -3.333333333
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