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Simplifying 2t + 3(4T) + -7 = 35 Remove parenthesis around (4T) 2t + 3 * 4T + -7 = 35 Multiply 3 * 4 2t + 12T + -7 = 35 Reorder the terms: -7 + 12T + 2t = 35 Solving -7 + 12T + 2t = 35 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 12T + 7 + 2t = 35 + 7 Reorder the terms: -7 + 7 + 12T + 2t = 35 + 7 Combine like terms: -7 + 7 = 0 0 + 12T + 2t = 35 + 7 12T + 2t = 35 + 7 Combine like terms: 35 + 7 = 42 12T + 2t = 42 Add '-2t' to each side of the equation. 12T + 2t + -2t = 42 + -2t Combine like terms: 2t + -2t = 0 12T + 0 = 42 + -2t 12T = 42 + -2t Divide each side by '12'. T = 3.5 + -0.1666666667t Simplifying T = 3.5 + -0.1666666667t
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