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