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Simplifying 7 + 12t + -5 = 9t + 44 + -3t Reorder the terms: 7 + -5 + 12t = 9t + 44 + -3t Combine like terms: 7 + -5 = 2 2 + 12t = 9t + 44 + -3t Reorder the terms: 2 + 12t = 44 + 9t + -3t Combine like terms: 9t + -3t = 6t 2 + 12t = 44 + 6t Solving 2 + 12t = 44 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 2 + 12t + -6t = 44 + 6t + -6t Combine like terms: 12t + -6t = 6t 2 + 6t = 44 + 6t + -6t Combine like terms: 6t + -6t = 0 2 + 6t = 44 + 0 2 + 6t = 44 Add '-2' to each side of the equation. 2 + -2 + 6t = 44 + -2 Combine like terms: 2 + -2 = 0 0 + 6t = 44 + -2 6t = 44 + -2 Combine like terms: 44 + -2 = 42 6t = 42 Divide each side by '6'. t = 7 Simplifying t = 7
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