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Simplifying 3(T + -4) + 3(5Y + -2) = 0 Reorder the terms: 3(-4 + T) + 3(5Y + -2) = 0 (-4 * 3 + T * 3) + 3(5Y + -2) = 0 (-12 + 3T) + 3(5Y + -2) = 0 Reorder the terms: -12 + 3T + 3(-2 + 5Y) = 0 -12 + 3T + (-2 * 3 + 5Y * 3) = 0 -12 + 3T + (-6 + 15Y) = 0 Reorder the terms: -12 + -6 + 3T + 15Y = 0 Combine like terms: -12 + -6 = -18 -18 + 3T + 15Y = 0 Solving -18 + 3T + 15Y = 0 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 3T + 18 + 15Y = 0 + 18 Reorder the terms: -18 + 18 + 3T + 15Y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3T + 15Y = 0 + 18 3T + 15Y = 0 + 18 Combine like terms: 0 + 18 = 18 3T + 15Y = 18 Add '-15Y' to each side of the equation. 3T + 15Y + -15Y = 18 + -15Y Combine like terms: 15Y + -15Y = 0 3T + 0 = 18 + -15Y 3T = 18 + -15Y Divide each side by '3'. T = 6 + -5Y Simplifying T = 6 + -5Y
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