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