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Simplifying 0.8(T + -2) = 0.5(9T + 10) Reorder the terms: 0.8(-2 + T) = 0.5(9T + 10) (-2 * 0.8 + T * 0.8) = 0.5(9T + 10) (-1.6 + 0.8T) = 0.5(9T + 10) Reorder the terms: -1.6 + 0.8T = 0.5(10 + 9T) -1.6 + 0.8T = (10 * 0.5 + 9T * 0.5) -1.6 + 0.8T = (5 + 4.5T) Solving -1.6 + 0.8T = 5 + 4.5T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-4.5T' to each side of the equation. -1.6 + 0.8T + -4.5T = 5 + 4.5T + -4.5T Combine like terms: 0.8T + -4.5T = -3.7T -1.6 + -3.7T = 5 + 4.5T + -4.5T Combine like terms: 4.5T + -4.5T = 0.0 -1.6 + -3.7T = 5 + 0.0 -1.6 + -3.7T = 5 Add '1.6' to each side of the equation. -1.6 + 1.6 + -3.7T = 5 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -3.7T = 5 + 1.6 -3.7T = 5 + 1.6 Combine like terms: 5 + 1.6 = 6.6 -3.7T = 6.6 Divide each side by '-3.7'. T = -1.783783784 Simplifying T = -1.783783784
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