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Simplifying 7(12 + 8) + -6 = 9(7T + 2) + -1T Combine like terms: 12 + 8 = 20 7(20) + -6 = 9(7T + 2) + -1T Multiply 7 * 20 140 + -6 = 9(7T + 2) + -1T Combine like terms: 140 + -6 = 134 134 = 9(7T + 2) + -1T Reorder the terms: 134 = 9(2 + 7T) + -1T 134 = (2 * 9 + 7T * 9) + -1T 134 = (18 + 63T) + -1T Combine like terms: 63T + -1T = 62T 134 = 18 + 62T Solving 134 = 18 + 62T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-62T' to each side of the equation. 134 + -62T = 18 + 62T + -62T Combine like terms: 62T + -62T = 0 134 + -62T = 18 + 0 134 + -62T = 18 Add '-134' to each side of the equation. 134 + -134 + -62T = 18 + -134 Combine like terms: 134 + -134 = 0 0 + -62T = 18 + -134 -62T = 18 + -134 Combine like terms: 18 + -134 = -116 -62T = -116 Divide each side by '-62'. T = 1.870967742 Simplifying T = 1.870967742
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