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Simplifying -3(2t + 4w) + 8(2t + -4w) = 0 (2t * -3 + 4w * -3) + 8(2t + -4w) = 0 (-6t + -12w) + 8(2t + -4w) = 0 -6t + -12w + (2t * 8 + -4w * 8) = 0 -6t + -12w + (16t + -32w) = 0 Reorder the terms: -6t + 16t + -12w + -32w = 0 Combine like terms: -6t + 16t = 10t 10t + -12w + -32w = 0 Combine like terms: -12w + -32w = -44w 10t + -44w = 0 Solving 10t + -44w = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '44w' to each side of the equation. 10t + -44w + 44w = 0 + 44w Combine like terms: -44w + 44w = 0 10t + 0 = 0 + 44w 10t = 0 + 44w Remove the zero: 10t = 44w Divide each side by '10'. t = 4.4w Simplifying t = 4.4w
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