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Simplifying 7t + -3t + 16 = 38 + -2t Reorder the terms: 16 + 7t + -3t = 38 + -2t Combine like terms: 7t + -3t = 4t 16 + 4t = 38 + -2t Solving 16 + 4t = 38 + -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. 16 + 4t + 2t = 38 + -2t + 2t Combine like terms: 4t + 2t = 6t 16 + 6t = 38 + -2t + 2t Combine like terms: -2t + 2t = 0 16 + 6t = 38 + 0 16 + 6t = 38 Add '-16' to each side of the equation. 16 + -16 + 6t = 38 + -16 Combine like terms: 16 + -16 = 0 0 + 6t = 38 + -16 6t = 38 + -16 Combine like terms: 38 + -16 = 22 6t = 22 Divide each side by '6'. t = 3.666666667 Simplifying t = 3.666666667
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