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Simplifying 5t + -12 = 8t + 24 Reorder the terms: -12 + 5t = 8t + 24 Reorder the terms: -12 + 5t = 24 + 8t Solving -12 + 5t = 24 + 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. -12 + 5t + -8t = 24 + 8t + -8t Combine like terms: 5t + -8t = -3t -12 + -3t = 24 + 8t + -8t Combine like terms: 8t + -8t = 0 -12 + -3t = 24 + 0 -12 + -3t = 24 Add '12' to each side of the equation. -12 + 12 + -3t = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = 24 + 12 -3t = 24 + 12 Combine like terms: 24 + 12 = 36 -3t = 36 Divide each side by '-3'. t = -12 Simplifying t = -12
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