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Simplifying -5(4T + -4) + 4T = 2T + -3 Reorder the terms: -5(-4 + 4T) + 4T = 2T + -3 (-4 * -5 + 4T * -5) + 4T = 2T + -3 (20 + -20T) + 4T = 2T + -3 Combine like terms: -20T + 4T = -16T 20 + -16T = 2T + -3 Reorder the terms: 20 + -16T = -3 + 2T Solving 20 + -16T = -3 + 2T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-2T' to each side of the equation. 20 + -16T + -2T = -3 + 2T + -2T Combine like terms: -16T + -2T = -18T 20 + -18T = -3 + 2T + -2T Combine like terms: 2T + -2T = 0 20 + -18T = -3 + 0 20 + -18T = -3 Add '-20' to each side of the equation. 20 + -20 + -18T = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -18T = -3 + -20 -18T = -3 + -20 Combine like terms: -3 + -20 = -23 -18T = -23 Divide each side by '-18'. T = 1.277777778 Simplifying T = 1.277777778
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