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Simplifying 5t + -3 = 8t + -12 Reorder the terms: -3 + 5t = 8t + -12 Reorder the terms: -3 + 5t = -12 + 8t Solving -3 + 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. -3 + 5t + -8t = -12 + 8t + -8t Combine like terms: 5t + -8t = -3t -3 + -3t = -12 + 8t + -8t Combine like terms: 8t + -8t = 0 -3 + -3t = -12 + 0 -3 + -3t = -12 Add '3' to each side of the equation. -3 + 3 + -3t = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -3t = -12 + 3 -3t = -12 + 3 Combine like terms: -12 + 3 = -9 -3t = -9 Divide each side by '-3'. t = 3 Simplifying t = 3
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