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Simplifying 114 + t + -29 = 7t + 25 Reorder the terms: 114 + -29 + t = 7t + 25 Combine like terms: 114 + -29 = 85 85 + t = 7t + 25 Reorder the terms: 85 + t = 25 + 7t Solving 85 + t = 25 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 85 + t + -7t = 25 + 7t + -7t Combine like terms: t + -7t = -6t 85 + -6t = 25 + 7t + -7t Combine like terms: 7t + -7t = 0 85 + -6t = 25 + 0 85 + -6t = 25 Add '-85' to each side of the equation. 85 + -85 + -6t = 25 + -85 Combine like terms: 85 + -85 = 0 0 + -6t = 25 + -85 -6t = 25 + -85 Combine like terms: 25 + -85 = -60 -6t = -60 Divide each side by '-6'. t = 10 Simplifying t = 10
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