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Simplifying 12 + -5t + -2t = 36 + 2t + -6 Combine like terms: -5t + -2t = -7t 12 + -7t = 36 + 2t + -6 Reorder the terms: 12 + -7t = 36 + -6 + 2t Combine like terms: 36 + -6 = 30 12 + -7t = 30 + 2t Solving 12 + -7t = 30 + 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. 12 + -7t + -2t = 30 + 2t + -2t Combine like terms: -7t + -2t = -9t 12 + -9t = 30 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + -9t = 30 + 0 12 + -9t = 30 Add '-12' to each side of the equation. 12 + -12 + -9t = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -9t = 30 + -12 -9t = 30 + -12 Combine like terms: 30 + -12 = 18 -9t = 18 Divide each side by '-9'. t = -2 Simplifying t = -2
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