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Simplifying 5t + 8 = 2t + -12 Reorder the terms: 8 + 5t = 2t + -12 Reorder the terms: 8 + 5t = -12 + 2t Solving 8 + 5t = -12 + 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. 8 + 5t + -2t = -12 + 2t + -2t Combine like terms: 5t + -2t = 3t 8 + 3t = -12 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + 3t = -12 + 0 8 + 3t = -12 Add '-8' to each side of the equation. 8 + -8 + 3t = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 3t = -12 + -8 3t = -12 + -8 Combine like terms: -12 + -8 = -20 3t = -20 Divide each side by '3'. t = -6.666666667 Simplifying t = -6.666666667
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