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Simplifying -5(T + -4) + 8t = 9t + -7 Reorder the terms: -5(-4 + T) + 8t = 9t + -7 (-4 * -5 + T * -5) + 8t = 9t + -7 (20 + -5T) + 8t = 9t + -7 Reorder the terms: 20 + -5T + 8t = -7 + 9t Solving 20 + -5T + 8t = -7 + 9t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -5T + -20 + 8t = -7 + -20 + 9t Reorder the terms: 20 + -20 + -5T + 8t = -7 + -20 + 9t Combine like terms: 20 + -20 = 0 0 + -5T + 8t = -7 + -20 + 9t -5T + 8t = -7 + -20 + 9t Combine like terms: -7 + -20 = -27 -5T + 8t = -27 + 9t Add '-8t' to each side of the equation. -5T + 8t + -8t = -27 + 9t + -8t Combine like terms: 8t + -8t = 0 -5T + 0 = -27 + 9t + -8t -5T = -27 + 9t + -8t Combine like terms: 9t + -8t = 1t -5T = -27 + 1t Divide each side by '-5'. T = 5.4 + -0.2t Simplifying T = 5.4 + -0.2t
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