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Simplifying 5(2T + -1) + 4t = 10 + -10 Reorder the terms: 5(-1 + 2T) + 4t = 10 + -10 (-1 * 5 + 2T * 5) + 4t = 10 + -10 (-5 + 10T) + 4t = 10 + -10 Combine like terms: 10 + -10 = 0 -5 + 10T + 4t = 0 Solving -5 + 10T + 4t = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 10T + 5 + 4t = 0 + 5 Reorder the terms: -5 + 5 + 10T + 4t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 10T + 4t = 0 + 5 10T + 4t = 0 + 5 Combine like terms: 0 + 5 = 5 10T + 4t = 5 Add '-4t' to each side of the equation. 10T + 4t + -4t = 5 + -4t Combine like terms: 4t + -4t = 0 10T + 0 = 5 + -4t 10T = 5 + -4t Divide each side by '10'. T = 0.5 + -0.4t Simplifying T = 0.5 + -0.4t
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