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Simplifying 90t + 65(T + 1) = 220 Reorder the terms: 90t + 65(1 + T) = 220 90t + (1 * 65 + T * 65) = 220 90t + (65 + 65T) = 220 Reorder the terms: 65 + 65T + 90t = 220 Solving 65 + 65T + 90t = 220 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + 65T + -65 + 90t = 220 + -65 Reorder the terms: 65 + -65 + 65T + 90t = 220 + -65 Combine like terms: 65 + -65 = 0 0 + 65T + 90t = 220 + -65 65T + 90t = 220 + -65 Combine like terms: 220 + -65 = 155 65T + 90t = 155 Add '-90t' to each side of the equation. 65T + 90t + -90t = 155 + -90t Combine like terms: 90t + -90t = 0 65T + 0 = 155 + -90t 65T = 155 + -90t Divide each side by '65'. T = 2.384615385 + -1.384615385t Simplifying T = 2.384615385 + -1.384615385t
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