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Simplifying 12t + -19 = 8t + -13 + 21 Reorder the terms: -19 + 12t = 8t + -13 + 21 Reorder the terms: -19 + 12t = -13 + 21 + 8t Combine like terms: -13 + 21 = 8 -19 + 12t = 8 + 8t Solving -19 + 12t = 8 + 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. -19 + 12t + -8t = 8 + 8t + -8t Combine like terms: 12t + -8t = 4t -19 + 4t = 8 + 8t + -8t Combine like terms: 8t + -8t = 0 -19 + 4t = 8 + 0 -19 + 4t = 8 Add '19' to each side of the equation. -19 + 19 + 4t = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 4t = 8 + 19 4t = 8 + 19 Combine like terms: 8 + 19 = 27 4t = 27 Divide each side by '4'. t = 6.75 Simplifying t = 6.75
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