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Simplifying 8t + 29 = 12t + 21 Reorder the terms: 29 + 8t = 12t + 21 Reorder the terms: 29 + 8t = 21 + 12t Solving 29 + 8t = 21 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 29 + 8t + -12t = 21 + 12t + -12t Combine like terms: 8t + -12t = -4t 29 + -4t = 21 + 12t + -12t Combine like terms: 12t + -12t = 0 29 + -4t = 21 + 0 29 + -4t = 21 Add '-29' to each side of the equation. 29 + -29 + -4t = 21 + -29 Combine like terms: 29 + -29 = 0 0 + -4t = 21 + -29 -4t = 21 + -29 Combine like terms: 21 + -29 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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