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Simplifying (6 + -3T) + (8t + 12) + -28 = 0 Remove parenthesis around (6 + -3T) 6 + -3T + (8t + 12) + -28 = 0 Reorder the terms: 6 + -3T + (12 + 8t) + -28 = 0 Remove parenthesis around (12 + 8t) 6 + -3T + 12 + 8t + -28 = 0 Reorder the terms: 6 + 12 + -28 + -3T + 8t = 0 Combine like terms: 6 + 12 = 18 18 + -28 + -3T + 8t = 0 Combine like terms: 18 + -28 = -10 -10 + -3T + 8t = 0 Solving -10 + -3T + 8t = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -3T + 10 + 8t = 0 + 10 Reorder the terms: -10 + 10 + -3T + 8t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3T + 8t = 0 + 10 -3T + 8t = 0 + 10 Combine like terms: 0 + 10 = 10 -3T + 8t = 10 Add '-8t' to each side of the equation. -3T + 8t + -8t = 10 + -8t Combine like terms: 8t + -8t = 0 -3T + 0 = 10 + -8t -3T = 10 + -8t Divide each side by '-3'. T = -3.333333333 + 2.666666667t Simplifying T = -3.333333333 + 2.666666667t
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