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Simplifying 7(T + 4) + 2(t + -5) = 90 Reorder the terms: 7(4 + T) + 2(t + -5) = 90 (4 * 7 + T * 7) + 2(t + -5) = 90 (28 + 7T) + 2(t + -5) = 90 Reorder the terms: 28 + 7T + 2(-5 + t) = 90 28 + 7T + (-5 * 2 + t * 2) = 90 28 + 7T + (-10 + 2t) = 90 Reorder the terms: 28 + -10 + 7T + 2t = 90 Combine like terms: 28 + -10 = 18 18 + 7T + 2t = 90 Solving 18 + 7T + 2t = 90 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 7T + -18 + 2t = 90 + -18 Reorder the terms: 18 + -18 + 7T + 2t = 90 + -18 Combine like terms: 18 + -18 = 0 0 + 7T + 2t = 90 + -18 7T + 2t = 90 + -18 Combine like terms: 90 + -18 = 72 7T + 2t = 72 Add '-2t' to each side of the equation. 7T + 2t + -2t = 72 + -2t Combine like terms: 2t + -2t = 0 7T + 0 = 72 + -2t 7T = 72 + -2t Divide each side by '7'. T = 10.28571429 + -0.2857142857t Simplifying T = 10.28571429 + -0.2857142857t
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