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Simplifying 3t + 4 + 7 = 6t + 9 Reorder the terms: 4 + 7 + 3t = 6t + 9 Combine like terms: 4 + 7 = 11 11 + 3t = 6t + 9 Reorder the terms: 11 + 3t = 9 + 6t Solving 11 + 3t = 9 + 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. 11 + 3t + -6t = 9 + 6t + -6t Combine like terms: 3t + -6t = -3t 11 + -3t = 9 + 6t + -6t Combine like terms: 6t + -6t = 0 11 + -3t = 9 + 0 11 + -3t = 9 Add '-11' to each side of the equation. 11 + -11 + -3t = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -3t = 9 + -11 -3t = 9 + -11 Combine like terms: 9 + -11 = -2 -3t = -2 Divide each side by '-3'. t = 0.6666666667 Simplifying t = 0.6666666667
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