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Simplifying 8(2w + -6) + 4(-4 + -5w) = 0 Reorder the terms: 8(-6 + 2w) + 4(-4 + -5w) = 0 (-6 * 8 + 2w * 8) + 4(-4 + -5w) = 0 (-48 + 16w) + 4(-4 + -5w) = 0 -48 + 16w + (-4 * 4 + -5w * 4) = 0 -48 + 16w + (-16 + -20w) = 0 Reorder the terms: -48 + -16 + 16w + -20w = 0 Combine like terms: -48 + -16 = -64 -64 + 16w + -20w = 0 Combine like terms: 16w + -20w = -4w -64 + -4w = 0 Solving -64 + -4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -4w = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -4w = 0 + 64 -4w = 0 + 64 Combine like terms: 0 + 64 = 64 -4w = 64 Divide each side by '-4'. w = -16 Simplifying w = -16
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