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Simplifying T + -3 + 4t = 3(3t + -9) Reorder the terms: -3 + T + 4t = 3(3t + -9) Reorder the terms: -3 + T + 4t = 3(-9 + 3t) -3 + T + 4t = (-9 * 3 + 3t * 3) -3 + T + 4t = (-27 + 9t) Solving -3 + T + 4t = -27 + 9t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '3' to each side of the equation. -3 + T + 3 + 4t = -27 + 3 + 9t Reorder the terms: -3 + 3 + T + 4t = -27 + 3 + 9t Combine like terms: -3 + 3 = 0 0 + T + 4t = -27 + 3 + 9t T + 4t = -27 + 3 + 9t Combine like terms: -27 + 3 = -24 T + 4t = -24 + 9t Add '-4t' to each side of the equation. T + 4t + -4t = -24 + 9t + -4t Combine like terms: 4t + -4t = 0 T + 0 = -24 + 9t + -4t T = -24 + 9t + -4t Combine like terms: 9t + -4t = 5t T = -24 + 5t Simplifying T = -24 + 5t
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