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Simplifying -8(5w + -1x + -2) = 0 Reorder the terms: -8(-2 + 5w + -1x) = 0 (-2 * -8 + 5w * -8 + -1x * -8) = 0 (16 + -40w + 8x) = 0 Solving 16 + -40w + 8x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -40w + -16 + 8x = 0 + -16 Reorder the terms: 16 + -16 + -40w + 8x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -40w + 8x = 0 + -16 -40w + 8x = 0 + -16 Combine like terms: 0 + -16 = -16 -40w + 8x = -16 Add '-8x' to each side of the equation. -40w + 8x + -8x = -16 + -8x Combine like terms: 8x + -8x = 0 -40w + 0 = -16 + -8x -40w = -16 + -8x Divide each side by '-40'. w = 0.4 + 0.2x Simplifying w = 0.4 + 0.2x
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