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Simplifying 2t + -3t + 8 = 3t + -8 Reorder the terms: 8 + 2t + -3t = 3t + -8 Combine like terms: 2t + -3t = -1t 8 + -1t = 3t + -8 Reorder the terms: 8 + -1t = -8 + 3t Solving 8 + -1t = -8 + 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. 8 + -1t + -3t = -8 + 3t + -3t Combine like terms: -1t + -3t = -4t 8 + -4t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + -4t = -8 + 0 8 + -4t = -8 Add '-8' to each side of the equation. 8 + -8 + -4t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4t = -8 + -8 -4t = -8 + -8 Combine like terms: -8 + -8 = -16 -4t = -16 Divide each side by '-4'. t = 4 Simplifying t = 4
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