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Simplifying 7.1t + -53 = 6.4t + -50.2 Reorder the terms: -53 + 7.1t = 6.4t + -50.2 Reorder the terms: -53 + 7.1t = -50.2 + 6.4t Solving -53 + 7.1t = -50.2 + 6.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.4t' to each side of the equation. -53 + 7.1t + -6.4t = -50.2 + 6.4t + -6.4t Combine like terms: 7.1t + -6.4t = 0.7t -53 + 0.7t = -50.2 + 6.4t + -6.4t Combine like terms: 6.4t + -6.4t = 0.0 -53 + 0.7t = -50.2 + 0.0 -53 + 0.7t = -50.2 Add '53' to each side of the equation. -53 + 53 + 0.7t = -50.2 + 53 Combine like terms: -53 + 53 = 0 0 + 0.7t = -50.2 + 53 0.7t = -50.2 + 53 Combine like terms: -50.2 + 53 = 2.8 0.7t = 2.8 Divide each side by '0.7'. t = 4 Simplifying t = 4
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