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Simplifying 3t + 6 = 5t + -8 Reorder the terms: 6 + 3t = 5t + -8 Reorder the terms: 6 + 3t = -8 + 5t Solving 6 + 3t = -8 + 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. 6 + 3t + -5t = -8 + 5t + -5t Combine like terms: 3t + -5t = -2t 6 + -2t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -2t = -8 + 0 6 + -2t = -8 Add '-6' to each side of the equation. 6 + -6 + -2t = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -2t = -8 + -6 -2t = -8 + -6 Combine like terms: -8 + -6 = -14 -2t = -14 Divide each side by '-2'. t = 7 Simplifying t = 7
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