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Simplifying 3(5 + -1T) + -4t = -2 (5 * 3 + -1T * 3) + -4t = -2 (15 + -3T) + -4t = -2 Solving 15 + -3T + -4t = -2 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -3T + -15 + -4t = -2 + -15 Reorder the terms: 15 + -15 + -3T + -4t = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -3T + -4t = -2 + -15 -3T + -4t = -2 + -15 Combine like terms: -2 + -15 = -17 -3T + -4t = -17 Add '4t' to each side of the equation. -3T + -4t + 4t = -17 + 4t Combine like terms: -4t + 4t = 0 -3T + 0 = -17 + 4t -3T = -17 + 4t Divide each side by '-3'. T = 5.666666667 + -1.333333333t Simplifying T = 5.666666667 + -1.333333333t
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