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Simplifying 7.1t + 34.4 = 6t + 30 Reorder the terms: 34.4 + 7.1t = 6t + 30 Reorder the terms: 34.4 + 7.1t = 30 + 6t Solving 34.4 + 7.1t = 30 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 34.4 + 7.1t + -6t = 30 + 6t + -6t Combine like terms: 7.1t + -6t = 1.1t 34.4 + 1.1t = 30 + 6t + -6t Combine like terms: 6t + -6t = 0 34.4 + 1.1t = 30 + 0 34.4 + 1.1t = 30 Add '-34.4' to each side of the equation. 34.4 + -34.4 + 1.1t = 30 + -34.4 Combine like terms: 34.4 + -34.4 = 0.0 0.0 + 1.1t = 30 + -34.4 1.1t = 30 + -34.4 Combine like terms: 30 + -34.4 = -4.4 1.1t = -4.4 Divide each side by '1.1'. t = -4 Simplifying t = -4
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