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Simplifying 65700 + t(2400) = 54700 + t(2800) Reorder the terms for easier multiplication: 65700 + 2400t = 54700 + t(2800) Reorder the terms for easier multiplication: 65700 + 2400t = 54700 + 2800t Solving 65700 + 2400t = 54700 + 2800t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2800t' to each side of the equation. 65700 + 2400t + -2800t = 54700 + 2800t + -2800t Combine like terms: 2400t + -2800t = -400t 65700 + -400t = 54700 + 2800t + -2800t Combine like terms: 2800t + -2800t = 0 65700 + -400t = 54700 + 0 65700 + -400t = 54700 Add '-65700' to each side of the equation. 65700 + -65700 + -400t = 54700 + -65700 Combine like terms: 65700 + -65700 = 0 0 + -400t = 54700 + -65700 -400t = 54700 + -65700 Combine like terms: 54700 + -65700 = -11000 -400t = -11000 Divide each side by '-400'. t = 27.5 Simplifying t = 27.5
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