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Simplifying -7(3 + T) = 4(2t + 30) (3 * -7 + T * -7) = 4(2t + 30) (-21 + -7T) = 4(2t + 30) Reorder the terms: -21 + -7T = 4(30 + 2t) -21 + -7T = (30 * 4 + 2t * 4) -21 + -7T = (120 + 8t) Solving -21 + -7T = 120 + 8t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -7T = 120 + 21 + 8t Combine like terms: -21 + 21 = 0 0 + -7T = 120 + 21 + 8t -7T = 120 + 21 + 8t Combine like terms: 120 + 21 = 141 -7T = 141 + 8t Divide each side by '-7'. T = -20.14285714 + -1.142857143t Simplifying T = -20.14285714 + -1.142857143t
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