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Simplifying 5t + -1T + -6 = 3t + -3 Reorder the terms: -6 + -1T + 5t = 3t + -3 Reorder the terms: -6 + -1T + 5t = -3 + 3t Solving -6 + -1T + 5t = -3 + 3t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1T + 6 + 5t = -3 + 6 + 3t Reorder the terms: -6 + 6 + -1T + 5t = -3 + 6 + 3t Combine like terms: -6 + 6 = 0 0 + -1T + 5t = -3 + 6 + 3t -1T + 5t = -3 + 6 + 3t Combine like terms: -3 + 6 = 3 -1T + 5t = 3 + 3t Add '-5t' to each side of the equation. -1T + 5t + -5t = 3 + 3t + -5t Combine like terms: 5t + -5t = 0 -1T + 0 = 3 + 3t + -5t -1T = 3 + 3t + -5t Combine like terms: 3t + -5t = -2t -1T = 3 + -2t Divide each side by '-1'. T = -3 + 2t Simplifying T = -3 + 2t
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