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Simplifying 5 + 4t + -3 = 8t + 2 + -3t Reorder the terms: 5 + -3 + 4t = 8t + 2 + -3t Combine like terms: 5 + -3 = 2 2 + 4t = 8t + 2 + -3t Reorder the terms: 2 + 4t = 2 + 8t + -3t Combine like terms: 8t + -3t = 5t 2 + 4t = 2 + 5t Add '-2' to each side of the equation. 2 + -2 + 4t = 2 + -2 + 5t Combine like terms: 2 + -2 = 0 0 + 4t = 2 + -2 + 5t 4t = 2 + -2 + 5t Combine like terms: 2 + -2 = 0 4t = 0 + 5t 4t = 5t Solving 4t = 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. 4t + -5t = 5t + -5t Combine like terms: 4t + -5t = -1t -1t = 5t + -5t Combine like terms: 5t + -5t = 0 -1t = 0 Divide each side by '-1'. t = 0 Simplifying t = 0
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