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Simplifying -1(-5x + -1w) + -6(4w + 2x) = 0 Reorder the terms: -1(-1w + -5x) + -6(4w + 2x) = 0 (-1w * -1 + -5x * -1) + -6(4w + 2x) = 0 (1w + 5x) + -6(4w + 2x) = 0 1w + 5x + (4w * -6 + 2x * -6) = 0 1w + 5x + (-24w + -12x) = 0 Reorder the terms: 1w + -24w + 5x + -12x = 0 Combine like terms: 1w + -24w = -23w -23w + 5x + -12x = 0 Combine like terms: 5x + -12x = -7x -23w + -7x = 0 Solving -23w + -7x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7x' to each side of the equation. -23w + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 -23w + 0 = 0 + 7x -23w = 0 + 7x Remove the zero: -23w = 7x Divide each side by '-23'. w = -0.3043478261x Simplifying w = -0.3043478261x
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