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Simplifying 9 + 4t + -8 = 8 + 5t + -3 Reorder the terms: 9 + -8 + 4t = 8 + 5t + -3 Combine like terms: 9 + -8 = 1 1 + 4t = 8 + 5t + -3 Reorder the terms: 1 + 4t = 8 + -3 + 5t Combine like terms: 8 + -3 = 5 1 + 4t = 5 + 5t Solving 1 + 4t = 5 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1 + 4t + -5t = 5 + 5t + -5t Combine like terms: 4t + -5t = -1t 1 + -1t = 5 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + -1t = 5 + 0 1 + -1t = 5 Add '-1' to each side of the equation. 1 + -1 + -1t = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 5 + -1 -1t = 5 + -1 Combine like terms: 5 + -1 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4
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