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Simplifying 5t + 10 = 8t + 12 Reorder the terms: 10 + 5t = 8t + 12 Reorder the terms: 10 + 5t = 12 + 8t Solving 10 + 5t = 12 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 10 + 5t + -8t = 12 + 8t + -8t Combine like terms: 5t + -8t = -3t 10 + -3t = 12 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -3t = 12 + 0 10 + -3t = 12 Add '-10' to each side of the equation. 10 + -10 + -3t = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -3t = 12 + -10 -3t = 12 + -10 Combine like terms: 12 + -10 = 2 -3t = 2 Divide each side by '-3'. t = -0.6666666667 Simplifying t = -0.6666666667
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