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Simplifying 3w + 2t + -1y + 4t + -1y + -2w = 0 Reorder the terms: 2t + 4t + 3w + -2w + -1y + -1y = 0 Combine like terms: 2t + 4t = 6t 6t + 3w + -2w + -1y + -1y = 0 Combine like terms: 3w + -2w = 1w 6t + 1w + -1y + -1y = 0 Combine like terms: -1y + -1y = -2y 6t + 1w + -2y = 0 Solving 6t + 1w + -2y = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1w' to each side of the equation. 6t + 1w + -1w + -2y = 0 + -1w Combine like terms: 1w + -1w = 0 6t + 0 + -2y = 0 + -1w 6t + -2y = 0 + -1w Remove the zero: 6t + -2y = -1w Add '2y' to each side of the equation. 6t + -2y + 2y = -1w + 2y Combine like terms: -2y + 2y = 0 6t + 0 = -1w + 2y 6t = -1w + 2y Divide each side by '6'. t = -0.1666666667w + 0.3333333333y Simplifying t = -0.1666666667w + 0.3333333333y
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