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Simplifying 2(3T + -4) = 10T + 7 Reorder the terms: 2(-4 + 3T) = 10T + 7 (-4 * 2 + 3T * 2) = 10T + 7 (-8 + 6T) = 10T + 7 Reorder the terms: -8 + 6T = 7 + 10T Solving -8 + 6T = 7 + 10T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-10T' to each side of the equation. -8 + 6T + -10T = 7 + 10T + -10T Combine like terms: 6T + -10T = -4T -8 + -4T = 7 + 10T + -10T Combine like terms: 10T + -10T = 0 -8 + -4T = 7 + 0 -8 + -4T = 7 Add '8' to each side of the equation. -8 + 8 + -4T = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -4T = 7 + 8 -4T = 7 + 8 Combine like terms: 7 + 8 = 15 -4T = 15 Divide each side by '-4'. T = -3.75 Simplifying T = -3.75
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