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Simplifying 4t + 3t + -1t + 17 = 8 + -3 Reorder the terms: 17 + 4t + 3t + -1t = 8 + -3 Combine like terms: 4t + 3t = 7t 17 + 7t + -1t = 8 + -3 Combine like terms: 7t + -1t = 6t 17 + 6t = 8 + -3 Combine like terms: 8 + -3 = 5 17 + 6t = 5 Solving 17 + 6t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 6t = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 6t = 5 + -17 6t = 5 + -17 Combine like terms: 5 + -17 = -12 6t = -12 Divide each side by '6'. t = -2 Simplifying t = -2
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