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Simplifying (T + -7) * 6 + -7(-7) * 3 + 10 = 0 Reorder the terms: (-7 + T) * 6 + -7(-7) * 3 + 10 = 0 Reorder the terms for easier multiplication: 6(-7 + T) + -7(-7) * 3 + 10 = 0 (-7 * 6 + T * 6) + -7(-7) * 3 + 10 = 0 (-42 + 6T) + -7(-7) * 3 + 10 = 0 Multiply -7 * -7 -42 + 6T + 49 * 3 + 10 = 0 Multiply 49 * 3 -42 + 6T + 147 + 10 = 0 Reorder the terms: -42 + 147 + 10 + 6T = 0 Combine like terms: -42 + 147 = 105 105 + 10 + 6T = 0 Combine like terms: 105 + 10 = 115 115 + 6T = 0 Solving 115 + 6T = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + 6T = 0 + -115 Combine like terms: 115 + -115 = 0 0 + 6T = 0 + -115 6T = 0 + -115 Combine like terms: 0 + -115 = -115 6T = -115 Divide each side by '6'. T = -19.16666667 Simplifying T = -19.16666667
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