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