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Simplifying 7t + 29 = 9t + 7 Reorder the terms: 29 + 7t = 9t + 7 Reorder the terms: 29 + 7t = 7 + 9t Solving 29 + 7t = 7 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 29 + 7t + -9t = 7 + 9t + -9t Combine like terms: 7t + -9t = -2t 29 + -2t = 7 + 9t + -9t Combine like terms: 9t + -9t = 0 29 + -2t = 7 + 0 29 + -2t = 7 Add '-29' to each side of the equation. 29 + -29 + -2t = 7 + -29 Combine like terms: 29 + -29 = 0 0 + -2t = 7 + -29 -2t = 7 + -29 Combine like terms: 7 + -29 = -22 -2t = -22 Divide each side by '-2'. t = 11 Simplifying t = 11
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