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Simplifying 12t + -1(4t + -6) = 9t + -27 Reorder the terms: 12t + -1(-6 + 4t) = 9t + -27 12t + (-6 * -1 + 4t * -1) = 9t + -27 12t + (6 + -4t) = 9t + -27 Reorder the terms: 6 + 12t + -4t = 9t + -27 Combine like terms: 12t + -4t = 8t 6 + 8t = 9t + -27 Reorder the terms: 6 + 8t = -27 + 9t Solving 6 + 8t = -27 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 6 + 8t + -9t = -27 + 9t + -9t Combine like terms: 8t + -9t = -1t 6 + -1t = -27 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -1t = -27 + 0 6 + -1t = -27 Add '-6' to each side of the equation. 6 + -6 + -1t = -27 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = -27 + -6 -1t = -27 + -6 Combine like terms: -27 + -6 = -33 -1t = -33 Divide each side by '-1'. t = 33 Simplifying t = 33
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