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Simplifying 3(-1w + -4x) + -6(-7x + -7w) = 0 (-1w * 3 + -4x * 3) + -6(-7x + -7w) = 0 (-3w + -12x) + -6(-7x + -7w) = 0 Reorder the terms: -3w + -12x + -6(-7w + -7x) = 0 -3w + -12x + (-7w * -6 + -7x * -6) = 0 -3w + -12x + (42w + 42x) = 0 Reorder the terms: -3w + 42w + -12x + 42x = 0 Combine like terms: -3w + 42w = 39w 39w + -12x + 42x = 0 Combine like terms: -12x + 42x = 30x 39w + 30x = 0 Solving 39w + 30x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30x' to each side of the equation. 39w + 30x + -30x = 0 + -30x Combine like terms: 30x + -30x = 0 39w + 0 = 0 + -30x 39w = 0 + -30x Remove the zero: 39w = -30x Divide each side by '39'. w = -0.7692307692x Simplifying w = -0.7692307692x
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