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Simplifying -8(-5w + 4x + -6) = 0 Reorder the terms: -8(-6 + -5w + 4x) = 0 (-6 * -8 + -5w * -8 + 4x * -8) = 0 (48 + 40w + -32x) = 0 Solving 48 + 40w + -32x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 40w + -48 + -32x = 0 + -48 Reorder the terms: 48 + -48 + 40w + -32x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 40w + -32x = 0 + -48 40w + -32x = 0 + -48 Combine like terms: 0 + -48 = -48 40w + -32x = -48 Add '32x' to each side of the equation. 40w + -32x + 32x = -48 + 32x Combine like terms: -32x + 32x = 0 40w + 0 = -48 + 32x 40w = -48 + 32x Divide each side by '40'. w = -1.2 + 0.8x Simplifying w = -1.2 + 0.8x
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