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Simplifying 8 + 2t + -2 = 8t + 10 + -5t Reorder the terms: 8 + -2 + 2t = 8t + 10 + -5t Combine like terms: 8 + -2 = 6 6 + 2t = 8t + 10 + -5t Reorder the terms: 6 + 2t = 10 + 8t + -5t Combine like terms: 8t + -5t = 3t 6 + 2t = 10 + 3t Solving 6 + 2t = 10 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 6 + 2t + -3t = 10 + 3t + -3t Combine like terms: 2t + -3t = -1t 6 + -1t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + -1t = 10 + 0 6 + -1t = 10 Add '-6' to each side of the equation. 6 + -6 + -1t = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 10 + -6 -1t = 10 + -6 Combine like terms: 10 + -6 = 4 -1t = 4 Divide each side by '-1'. t = -4 Simplifying t = -4
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