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Simplifying -1(2w + -1x) + -5(x + 6w) = 0 (2w * -1 + -1x * -1) + -5(x + 6w) = 0 (-2w + 1x) + -5(x + 6w) = 0 Reorder the terms: -2w + 1x + -5(6w + x) = 0 -2w + 1x + (6w * -5 + x * -5) = 0 -2w + 1x + (-30w + -5x) = 0 Reorder the terms: -2w + -30w + 1x + -5x = 0 Combine like terms: -2w + -30w = -32w -32w + 1x + -5x = 0 Combine like terms: 1x + -5x = -4x -32w + -4x = 0 Solving -32w + -4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. -32w + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 -32w + 0 = 0 + 4x -32w = 0 + 4x Remove the zero: -32w = 4x Divide each side by '-32'. w = -0.125x Simplifying w = -0.125x
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