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Simplifying 4(T + -3) + 6t = 9T + -3 Reorder the terms: 4(-3 + T) + 6t = 9T + -3 (-3 * 4 + T * 4) + 6t = 9T + -3 (-12 + 4T) + 6t = 9T + -3 Reorder the terms: -12 + 4T + 6t = -3 + 9T Solving -12 + 4T + 6t = -3 + 9T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-9T' to each side of the equation. -12 + 4T + -9T + 6t = -3 + 9T + -9T Combine like terms: 4T + -9T = -5T -12 + -5T + 6t = -3 + 9T + -9T Combine like terms: 9T + -9T = 0 -12 + -5T + 6t = -3 + 0 -12 + -5T + 6t = -3 Add '12' to each side of the equation. -12 + -5T + 12 + 6t = -3 + 12 Reorder the terms: -12 + 12 + -5T + 6t = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -5T + 6t = -3 + 12 -5T + 6t = -3 + 12 Combine like terms: -3 + 12 = 9 -5T + 6t = 9 Add '-6t' to each side of the equation. -5T + 6t + -6t = 9 + -6t Combine like terms: 6t + -6t = 0 -5T + 0 = 9 + -6t -5T = 9 + -6t Divide each side by '-5'. T = -1.8 + 1.2t Simplifying T = -1.8 + 1.2t
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