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Simplifying -9t + -9 + 12t + -9 = 2t + -18 + 6 Reorder the terms: -9 + -9 + -9t + 12t = 2t + -18 + 6 Combine like terms: -9 + -9 = -18 -18 + -9t + 12t = 2t + -18 + 6 Combine like terms: -9t + 12t = 3t -18 + 3t = 2t + -18 + 6 Reorder the terms: -18 + 3t = -18 + 6 + 2t Combine like terms: -18 + 6 = -12 -18 + 3t = -12 + 2t Solving -18 + 3t = -12 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -18 + 3t + -2t = -12 + 2t + -2t Combine like terms: 3t + -2t = 1t -18 + 1t = -12 + 2t + -2t Combine like terms: 2t + -2t = 0 -18 + 1t = -12 + 0 -18 + 1t = -12 Add '18' to each side of the equation. -18 + 18 + 1t = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 1t = -12 + 18 1t = -12 + 18 Combine like terms: -12 + 18 = 6 1t = 6 Divide each side by '1'. t = 6 Simplifying t = 6
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