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Simplifying 4 + 3t + -1 = 9t + 12 + -3t Reorder the terms: 4 + -1 + 3t = 9t + 12 + -3t Combine like terms: 4 + -1 = 3 3 + 3t = 9t + 12 + -3t Reorder the terms: 3 + 3t = 12 + 9t + -3t Combine like terms: 9t + -3t = 6t 3 + 3t = 12 + 6t Solving 3 + 3t = 12 + 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. 3 + 3t + -6t = 12 + 6t + -6t Combine like terms: 3t + -6t = -3t 3 + -3t = 12 + 6t + -6t Combine like terms: 6t + -6t = 0 3 + -3t = 12 + 0 3 + -3t = 12 Add '-3' to each side of the equation. 3 + -3 + -3t = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3t = 12 + -3 -3t = 12 + -3 Combine like terms: 12 + -3 = 9 -3t = 9 Divide each side by '-3'. t = -3 Simplifying t = -3
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