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Simplifying 8 + -3t + 9 = -4 + -7t + -5t Reorder the terms: 8 + 9 + -3t = -4 + -7t + -5t Combine like terms: 8 + 9 = 17 17 + -3t = -4 + -7t + -5t Combine like terms: -7t + -5t = -12t 17 + -3t = -4 + -12t Solving 17 + -3t = -4 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. 17 + -3t + 12t = -4 + -12t + 12t Combine like terms: -3t + 12t = 9t 17 + 9t = -4 + -12t + 12t Combine like terms: -12t + 12t = 0 17 + 9t = -4 + 0 17 + 9t = -4 Add '-17' to each side of the equation. 17 + -17 + 9t = -4 + -17 Combine like terms: 17 + -17 = 0 0 + 9t = -4 + -17 9t = -4 + -17 Combine like terms: -4 + -17 = -21 9t = -21 Divide each side by '9'. t = -2.333333333 Simplifying t = -2.333333333
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