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Simplifying (4 + -1w) + -1(w + -1t) + -1(w + -1t) = 0 Remove parenthesis around (4 + -1w) 4 + -1w + -1(w + -1t) + -1(w + -1t) = 0 Reorder the terms: 4 + -1w + -1(-1t + w) + -1(w + -1t) = 0 4 + -1w + (-1t * -1 + w * -1) + -1(w + -1t) = 0 4 + -1w + (1t + -1w) + -1(w + -1t) = 0 Reorder the terms: 4 + -1w + 1t + -1w + -1(-1t + w) = 0 4 + -1w + 1t + -1w + (-1t * -1 + w * -1) = 0 4 + -1w + 1t + -1w + (1t + -1w) = 0 Reorder the terms: 4 + 1t + 1t + -1w + -1w + -1w = 0 Combine like terms: 1t + 1t = 2t 4 + 2t + -1w + -1w + -1w = 0 Combine like terms: -1w + -1w = -2w 4 + 2t + -2w + -1w = 0 Combine like terms: -2w + -1w = -3w 4 + 2t + -3w = 0 Solving 4 + 2t + -3w = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2t + -4 + -3w = 0 + -4 Reorder the terms: 4 + -4 + 2t + -3w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2t + -3w = 0 + -4 2t + -3w = 0 + -4 Combine like terms: 0 + -4 = -4 2t + -3w = -4 Add '3w' to each side of the equation. 2t + -3w + 3w = -4 + 3w Combine like terms: -3w + 3w = 0 2t + 0 = -4 + 3w 2t = -4 + 3w Divide each side by '2'. t = -2 + 1.5w Simplifying t = -2 + 1.5w
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