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Simplifying 3t + -12 + 6t = 5t + -8 Reorder the terms: -12 + 3t + 6t = 5t + -8 Combine like terms: 3t + 6t = 9t -12 + 9t = 5t + -8 Reorder the terms: -12 + 9t = -8 + 5t Solving -12 + 9t = -8 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -12 + 9t + -5t = -8 + 5t + -5t Combine like terms: 9t + -5t = 4t -12 + 4t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 -12 + 4t = -8 + 0 -12 + 4t = -8 Add '12' to each side of the equation. -12 + 12 + 4t = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 4t = -8 + 12 4t = -8 + 12 Combine like terms: -8 + 12 = 4 4t = 4 Divide each side by '4'. t = 1 Simplifying t = 1
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