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Simplifying 5 + -1T + 3 = -1 + 2(T + -3) Reorder the terms: 5 + 3 + -1T = -1 + 2(T + -3) Combine like terms: 5 + 3 = 8 8 + -1T = -1 + 2(T + -3) Reorder the terms: 8 + -1T = -1 + 2(-3 + T) 8 + -1T = -1 + (-3 * 2 + T * 2) 8 + -1T = -1 + (-6 + 2T) Combine like terms: -1 + -6 = -7 8 + -1T = -7 + 2T Solving 8 + -1T = -7 + 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. 8 + -1T + -2T = -7 + 2T + -2T Combine like terms: -1T + -2T = -3T 8 + -3T = -7 + 2T + -2T Combine like terms: 2T + -2T = 0 8 + -3T = -7 + 0 8 + -3T = -7 Add '-8' to each side of the equation. 8 + -8 + -3T = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3T = -7 + -8 -3T = -7 + -8 Combine like terms: -7 + -8 = -15 -3T = -15 Divide each side by '-3'. T = 5 Simplifying T = 5
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