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Simplifying 64400 + t(2600) = 65700 + t(2400) Reorder the terms for easier multiplication: 64400 + 2600t = 65700 + t(2400) Reorder the terms for easier multiplication: 64400 + 2600t = 65700 + 2400t Solving 64400 + 2600t = 65700 + 2400t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2400t' to each side of the equation. 64400 + 2600t + -2400t = 65700 + 2400t + -2400t Combine like terms: 2600t + -2400t = 200t 64400 + 200t = 65700 + 2400t + -2400t Combine like terms: 2400t + -2400t = 0 64400 + 200t = 65700 + 0 64400 + 200t = 65700 Add '-64400' to each side of the equation. 64400 + -64400 + 200t = 65700 + -64400 Combine like terms: 64400 + -64400 = 0 0 + 200t = 65700 + -64400 200t = 65700 + -64400 Combine like terms: 65700 + -64400 = 1300 200t = 1300 Divide each side by '200'. t = 6.5 Simplifying t = 6.5
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