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Simplifying 27 + -3t + 12 = 9t + -18 + -15 Reorder the terms: 27 + 12 + -3t = 9t + -18 + -15 Combine like terms: 27 + 12 = 39 39 + -3t = 9t + -18 + -15 Reorder the terms: 39 + -3t = -18 + -15 + 9t Combine like terms: -18 + -15 = -33 39 + -3t = -33 + 9t Solving 39 + -3t = -33 + 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. 39 + -3t + -9t = -33 + 9t + -9t Combine like terms: -3t + -9t = -12t 39 + -12t = -33 + 9t + -9t Combine like terms: 9t + -9t = 0 39 + -12t = -33 + 0 39 + -12t = -33 Add '-39' to each side of the equation. 39 + -39 + -12t = -33 + -39 Combine like terms: 39 + -39 = 0 0 + -12t = -33 + -39 -12t = -33 + -39 Combine like terms: -33 + -39 = -72 -12t = -72 Divide each side by '-12'. t = 6 Simplifying t = 6
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